Posted: 11/28/2003 5:16:23 PM EDT
[Last Edit: 11/28/2003 5:20:15 PM EDT by The_Macallan]
You have three dice. On a single roll of all three, what is the probability that you will get a 5 or a 6 on any of the die? Show how you arrived at your answer. 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi 
It has been a long time since I have used my probs and stats, but here is my guess. You have a 1 in 3 chance of rolling a 5 or a 6 on any single die or a 2 in 3 chance of not rolling 5 or 6. To not roll a 5 or 6 on any of the three dice is a 2/3*2/3*2/3 probability (8/27 or .296). To figure the inverse probability (rolling a 5 or 6 at least once) subtract .296 from 1 which equals .704 or 70.4% chance of rolling AT LEAST ONE 5 or 6.



Probability should be 100%. You have a 2/6 chance on any 1 die & 3 of them, so 6/6. At least I think, the most math I had was algebra2.



2/6 + 2/6 + 2/6


[banana]

lol


[banana]

here's another one once you guys are done with mac's problem:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He then says to you, "Do you want to switch to door number 2?" Is it to yo ur advantage to switch your choice?
I'll give you the answer: yes you should switch
you explain why


[banana]

Because the guy is an asshole and assumes you'll think he's trying to trick you and pick door #1.


Before it happens they call you paranoid.
After it happens they call you prepared. 
2/3


Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By Red_Beard:
here's another one once you guys are done with mac's problem:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He then says to you, "Do you want to switch to door number 2?" Is it to yo ur advantage to switch your choice?
I'll give you the answer: yes you should switch
you explain why
View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Originally Posted By Red_Beard:
here's another one once you guys are done with mac's problem:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He then says to you, "Do you want to switch to door number 2?" Is it to yo ur advantage to switch your choice?
I'll give you the answer: yes you should switch
you explain why
View Quote 


Originally Posted By Red_Beard:
here's another one once you guys are done with mac's problem:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He then says to you, "Do you want to switch to door number 2?" Is it to yo ur advantage to switch your choice?
I'll give you the answer: yes you should switch
you explain why
View Quote 


Im sick of that crap.
From my first exam this semester:
An experiment consists of tossing a fair die (six sides and the numbers 1 through 6 on its faces) until the number, 3, occurs or the die is tossed 4 times, whichever comes first. The number of tosses is a random variable, N. What is the numerical expected value of N, E(N)? View Quote A circuit consists of a resistor, R, at an absolute temperature, T, and a capacitor, C, in parallel. (The doublesided power spectral density of the shortcircuit Johnson noise current of a resistor is 2kT/R and the double sided PSD of the open circuit Johnson noise voltage is 2kTR.)
a) Find a general formula for the meansquared voltage across the capacitor (and resistor) in terms of k, R, T and C. This formula should contain no integral signs, Fourier transforms or convolution operators.
b) You should find that the meansquared voltage is independent of resistance, R. By sketching the PSD of the noise voltage across the capacitor for the two cases, R=1, C=1, T=300 and R=2, C=1, T=300, explain how that can happen even though the PSD of the resistor Johnson noise current (or voltage) noise is a function of R. View Quote 

And God said ∇xΒ/μ∂/∂tεΕ=J ∇xΕ+∂/∂tΒ=0 and there was light

i like pie


"A man should be able to plan an invasion,write a sonnet,program a computer,cook,fight,and die gallantly. Specialization is for insects."R. Heinlein

Originally Posted By The_Macallan:
Originally Posted By Red_Beard:
here's another one once you guys are done with mac's problem:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He then says to you, "Do you want to switch to door number 2?" Is it to yo ur advantage to switch your choice?
I'll give you the answer: yes you should switch
you explain why
View Quote View Quote 


Originally Posted By Corporal_Chaos:
Yes, you may have a 2/3 chance of choosing a door with a goat behind it for your first choice; however, [red]once the game show host shows you door number 3 has a goat behind it, and he gives you the opportunity to choose again you have a 50/50 chance at guessing on the car[/red]. I understand the logic of the theorem, but personally I always go with my gut in situations like this. View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Punters. Here's the REAL test. Sharpen your pencils, kids.
The Final Exam
Instructions: Read each question carefully. Answer all questions.
Time Limit: 4 hours. Begin immediately.
1) H I S T O R Y
Describe the history of the papacy from its origins to the present day, concentrating especially, but not exclusively, on its social, political, economic, religious, and philosophical impact on Europe, Asia, America, and Africa. Be brief, concise, and specific.
2) M E D I C I N E
You have been provided with a razor blade, a piece of gauze, and a bottle of Scotch. Remove your appendix. Do not suture until your work has been inspected. You have 15 minutes.
3) P U B L I C S P E A K I N G
Twentyfive hundred riotcrazed aborigines are storming the classroom. Calm them. You may use any ancient language except Latin or Greek.
4) B I O L O G Y
Create life. Estimate the differences in subsequent human culture if this form of life had developed 500 million years earlier, with special attention to its probable effect on the English parliamentary system. Prove your thesis.
5) M U S I C
Write a piano concerto. Orchestrate and perform it with flute and drum. You will find a piano under your seat.
6) P S Y C H O L O G Y
Based on your degree of knowledge of their works, evaluate the emotional stability, degree of adjustment, and repressed frustrations of each of the following: Alexander of Aphrodisias, Rameses II, Gregory of Nicea, Hammurabi. Support your evaluations with quotations from each man's work, making appropriate references. It is not necessary to translate.
7) S O C I O L O G Y
Estimate the sociological problems which might accompany the end of the world. Construct an experiment to test your theory.
8) M A N A G E M E N T S C I E N C E
Define management. Define science. How do they relate? Why? Create a generalized algorithm to optimize all managerial decisions. Assuming an 1130 CPU supporting 50 terminals, each terminal to activate your algorithm; design the communications interface and all necessary control programs.
9) E N G I N E E R I N G
The disassembled parts of a highpowered rifle have been placed in a box on your desk. You will also find an instruction manual, printed in Swahili. In ten minutes a hungry Bengal tiger will be admitted to the room. Take whatever action you feel is appropriate. Be prepared to justify your decision.
10) E C O N O M I C S
Develop a realistic plan for refinancing the national debt. Trace the possible effects of your plan in the following areas: Cubism, the Donatist controversy, the wave theory of light. Outline a method for preventing these effects. Criticize this method from all possible points of view. Point out the deficiencies in your point of view, as demonstrated in your answer to the last question.
11) P O L I T I C A L S C I E N C E
There is a red telephone on the desk beside you. Start World War III. Report at length on its sociopolitical effects, if any.
12) E P I S T E M O L O G Y
Take a position for or against truth. Prove the validity of your position.
13) P H Y S I C S
Explain the nature of matter. Include in your answer an evaluation of the impact of the development of mathematics on science.
14) P H I L O S O P H Y
Sketch the development of human thought; estimate its significance. Compare with the development of any other kind of thought.
15) G E N E R A L K N O W L E D G E
Describe in detail. Be objective and specific.
* * E X T R A C R E D I T * *
Define the universe; give three examples.


ONLY PEOPLE WHO LACK A CERTAIN AMOUNT OF CONFIDENCE AND CAN'T COME UP WITH A DECENT ARGUMENT TYPE IN ALL CAPS.

[b]DzlBenz[/b], I actually added that to the end of a final exam as a joke one semester, some students actually tried to answer them. [:D]
[b]Okay now, back on topic...
[size=4]Can someone please answer my original question DAMMIT!!!!???[/size=4][/b]
[img]http://us.news2.yimg.com/us.yimg.com/p/afp/20031124/capt.sge.hvh28.241103070028.photo00.default384x235.jpg[/img]


"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Originally Posted By The_Macallan:
Originally Posted By Corporal_Chaos:
Yes, you may have a 2/3 chance of choosing a door with a goat behind it for your first choice; however, [red]once the game show host shows you door number 3 has a goat behind it, and he gives you the opportunity to choose again you have a 50/50 chance at guessing on the car[/red]. I understand the logic of the theorem, but personally I always go with my gut in situations like this. View Quote View Quote 

They can add whaatever ammendments they want, and we'll just laugh at them and KILL THE BILL!

Originally Posted By gribble:
Originally Posted By The_Macallan:
Originally Posted By Corporal_Chaos:
Yes, you may have a 2/3 chance of choosing a door with a goat behind it for your first choice; however, [red]once the game show host shows you door number 3 has a goat behind it, and he gives you the opportunity to choose again you have a 50/50 chance at guessing on the car[/red]. I understand the logic of the theorem, but personally I always go with my gut in situations like this. View Quote View Quote View Quote 


Originally Posted By gribble:
I disagree. Once the host opens door #3, you only have 2 options. At this point, since 2 doors have goats and one door has a car, and you already know that door 3 has a goat, you get to chose between one door with a car and one door with a goat. giving you a 50/50 chance. Switching will niether help or hurt your odds. View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
33%


Jesus is my Lord

Originally Posted By The_Macallan:
[b]DzlBenz[/b], I actually added that to the end of a final exam as a joke one semester, some students actually tried to answer them. [:D]
[b]Okay now, back on topic...
[size=4]Can someone please answer my original question DAMMIT!!!!???[/size=4][/b]
[url]http://us.news2.yimg.com/us.yimg.com/p/afp/20031124/capt.sge.hvh28.241103070028.photo00.default384x235.jpg[/url]
View Quote 


Originally Posted By 1911Shootist:
H46Driver solved you original problem correctly. Took me a bit to recall my own math classes too. [:)] View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
There are 6x6x6 possible ways we can roll the three dice. Of those 216 possible combinations, there are 152 (2x6x6 72 combinations with the first two + 40 with each of the other two that don't overlap with the previous 72) that will give you a 5 or six on any one die. Therefore the probability is 152/216 or 0.704 chance of it happening.
I just noticed H46Driver had the right solution and an easier way of solving it. Oh well.z


"In Texas, even the vegetables are made of meat"  Lyle McDonald

Originally Posted By The_Macallan:
Originally Posted By gribble:
I disagree. Once the host opens door #3, you only have 2 options. At this point, since 2 doors have goats and one door has a car, and you already know that door 3 has a goat, you get to chose between one door with a car and one door with a goat. giving you a 50/50 chance. Switching will niether help or hurt your odds. View Quote View Quote 

They can add whaatever ammendments they want, and we'll just laugh at them and KILL THE BILL!

Originally Posted By The_Macallan:
He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By The_Macallan:He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
which must mean then that [i]"To [red][s]not[/s][/red] roll a 5 or 6 on any of the three dice is a [red]1/3*1/3*1/3 probability[/red] (1/27 or 0.037)"[/i] [%] View Quote 

[banana]

math must die!


"the things you own will end up owning you."
Tyler Durden 
Not changing your choice (sticking with door one) or changing your choice (the only other choice being door 2) will not affect your odds of winning. View Quote 

"In Texas, even the vegetables are made of meat"  Lyle McDonald

Originally Posted By Red_Beard:
Originally Posted By The_Macallan:He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
which must mean then that [i]"To [red][s]not[/s][/red] roll a 5 or 6 on any of the three dice is a [red]1/3*1/3*1/3 probability[/red] (1/27 or 0.037)"[/i] [%] View Quote View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Originally Posted By The_Macallan:
Originally Posted By Red_Beard:
Originally Posted By The_Macallan:He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
which must mean then that [i]"To [red][s]not[/s][/red] roll a 5 or 6 on any of the three dice is a [red]1/3*1/3*1/3 probability[/red] (1/27 or 0.037)"[/i] [%] View Quote View Quote View Quote 

[banana]

Originally Posted By zoom:
Not changing your choice (sticking with door one) or changing your choice (the only other choice being door 2) will not affect your odds of winning. View Quote View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By drjarhead:
Originally Posted By The_Macallan:
He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
View Quote View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By drjarhead:
Originally Posted By zoom:
Not changing your choice (sticking with door one) or changing your choice (the only other choice being door 2) will not affect your odds of winning. View Quote View Quote View Quote 

[banana]

So by that reasoning if there were 100 doors and you chose one only to find out that 98 of them had goats would the odds of the one you had chosen being the car be 1% and the one remaining be 99%? View Quote 

"In Texas, even the vegetables are made of meat"  Lyle McDonald

Originally Posted By Red_Beard:
Originally Posted By The_Macallan:
Originally Posted By Red_Beard:
Originally Posted By The_Macallan:He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
which must mean then that [i]"To [red][s]not[/s][/red] roll a 5 or 6 on any of the three dice is a [red]1/3*1/3*1/3 probability[/red] (1/27 or 0.037)"[/i] [%] View Quote View Quote View Quote View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Okay, I see your point. Not 100% sold but I understand what you guys are saying.


Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By The_Macallan:
[b]The probability of rolling a 5 or 6 with THREE die is NOT determined by multiplying the probability of each of the three dice (i.e. it's NOT "1/3*1/3*1/3").[/b]
Therefore the probability of NOT rolling a 5 or 6 is also not determined by multiplying the probabilities of each of the three dice (i.e. it's NOT "2/3*2/3*2/3")
View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
You didn't explain anything. You just restated same the faulty logic again. View Quote The probability of rolling a 5 or 6 with one die is 1/3. View Quote
The probability of rolling a 5 or 6 with THREE die is NOT determined by multiplying the probability of each of the three dice (i.e. it's NOT "1/3*1/3*1/3"). View Quote
Therefore the probability of NOT rolling a 5 or 6 is also not determined by multiplying the probabilities of each of the three dice (i.e. it's NOT "2/3*2/3*2/3") View Quote Think of flipping a coin. The odds of getting a heads on ANY of three coins tossed is NOT determined by "1/2*1/2*1/2". View Quote 

[banana]

Originally Posted By Red_Beard:
so ...
probabilty of "heads on ANY of three tosses" + probability of "tails on ALL three tosses" = 1
View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
Originally Posted By drjarhead:
Originally Posted By Red_Beard:
so ...
probabilty of "heads on ANY of three tosses" + probability of "tails on ALL three tosses" = 1
View Quote View Quote 1/9 chance all tails View Quote 7/9 chance of various combos of heads and tails View Quote 

[banana]

Originally Posted By Red_Beard:
Originally Posted By drjarhead:
Originally Posted By Red_Beard:
so ...
probabilty of "heads on ANY of three tosses" + probability of "tails on ALL three tosses" = 1
View Quote View Quote 1/9 chance all tails View Quote 7/9 chance of various combos of heads and tails View Quote View Quote 

Fuck 'em. We're the ones with the guns [sniper2]
To the Brady Bunch and HCI: Better bring more than your big mouth to the gunfight. 
The probability of rolling a 5 or 6 with one die is 1/3.
View Quote 

No man's life, liberty or fortune is safe while our legislature is in session. Benjamin Franklin

I would say that if this is what you focus you life on then the probability is that you are in need of a hobby.


Class 3 shooters blow thier load faster and with just one pull on the trigger

Originally Posted By The_Macallan:
Originally Posted By Red_Beard:
Originally Posted By The_Macallan:
Originally Posted By Red_Beard:
Originally Posted By The_Macallan:He stated that [i]"To [red]not[/red] roll a 5 or 6 on any of the three dice is a [red]2/3*2/3*2/3 probability[/red] (8/27 or .296)"[/i]
which must mean then that [i]"To [red][s]not[/s][/red] roll a 5 or 6 on any of the three dice is a [red]1/3*1/3*1/3 probability[/red] (1/27 or 0.037)"[/i] [%] View Quote View Quote View Quote View Quote View Quote 

And God said ∇xΒ/μ∂/∂tεΕ=J ∇xΕ+∂/∂tΒ=0 and there was light

Originally Posted By The_Macallan:
You have three dice. On a [red]single roll of all three[/red], what is the probability that you will get a 5 or a 6 on [red]any[/red] of the die?
Show how you arrived at your answer. View Quote 

No man's life, liberty or fortune is safe while our legislature is in session. Benjamin Franklin

Originally Posted By drjarhead:
No, but the probability of rolling a 5 or 6 [red]with ALL three dice[/red] IS 1/3 x 1/3 x 1/3. Therefore the probability of NOT rolling a 5o6 at all should be 2/3 x 2/3 x 2/3 with the ALL the remaining possibilities including a 5 or 6 on at least one die. So explain to me how the answer is not .704[):)] View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
Originally Posted By drjarhead:
Originally Posted By Red_Beard:
so ...
probabilty of "heads on ANY of three tosses" + probability of "tails on ALL three tosses" = 1
View Quote View Quote 


Originally Posted By The_Macallan:
Okay now, so let's up the ante. What's the odds of getting a 5 or 6 on only ONE of the three dice rolled? [:D]
View Quote 

And God said ∇xΒ/μ∂/∂tεΕ=J ∇xΕ+∂/∂tΒ=0 and there was light

Originally Posted By DsrtEgl50:
Originally Posted By The_Macallan:
Okay now, so let's up the ante. What's the odds of getting a 5 or 6 on only ONE of the three dice rolled? [:D]
View Quote View Quote 

"It is clear that using force is not the answer to resolving the conflict with terrorists."
~ Romano Prodi, EU Commission Chief. 
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