Question
You have three dice. What is the probability to find rolling two same number?
Answers
Reiny
let's pick one specific case
e.g. two 3's and the third one different
33?
the probability of that is 1/6 * 1/6 * 5/6
but there are 3 ways for 33? to turn up
33?,3?3, and ?33
but there are 6 such cases that could happen
two 1's, two 2's etc
so the prob. is 6(1/6)(1/6)(5/6)(3) = 5/12
e.g. two 3's and the third one different
33?
the probability of that is 1/6 * 1/6 * 5/6
but there are 3 ways for 33? to turn up
33?,3?3, and ?33
but there are 6 such cases that could happen
two 1's, two 2's etc
so the prob. is 6(1/6)(1/6)(5/6)(3) = 5/12
Sima
Thank you so much.