# 3 dice and probability. this one is pretty weird.

• Dec 5th 2006, 09:05 AM
IWasJustinYou
3 dice and probability. this one is pretty weird.
I think I have it figured out but I am not sure. Its a multiple choice question so there are 5 possible answers.

"Three fair dice are tossed. Find the probability that exactly 2 of the 3 tosses result in a 6>'

A - 125/216
B - 15/216
C - 1/216
D - 75/216
E - None of the above

Now I am not sure but i worked the problem and got about 5/216 making the answer D. But I am kind of iffy on it. Any input our help would be great. Thanks alot!
• Dec 5th 2006, 09:06 AM
ThePerfectHacker
Quote:

Originally Posted by IWasJustinYou
I think I have it figured out but I am not sure. Its a multiple choice question so there are 5 possible answers.

"Three fair dice are tossed. Find the probability that exactly 2 of the 3 tosses result in a 6>'

A - 125/216
B - 15/216
C - 1/216
D - 75/216
E - None of the above

Now I am not sure but i worked the problem and got about 5/216 making the answer D. But I am kind of iffy on it. Any input our help would be great. Thanks alot!

This is "binomial probability".
The probability of succes is 1/6
The probability of fail is 5/6
Thus,
\$\displaystyle { 3\choose 2}(1/6)^2(5/6)^1\$
• Dec 5th 2006, 02:20 PM
IWasJustinYou