Question

if you roll a dice, the chance of getting 6 is 1/6. If you roll the same dice 5 times, what is the probability of getting in all those 5 attempts only once a 6?

Answer 1

use binomial dist

Answer 2

so the answer is 59.81 percent
thanks!

Answer 3

if you want the probability of getting exactly one 6 in 5 rolls then the probability is

\[{5\choose 1}\left(\frac{1}{6}\right)^1\left(\frac{5}{6}\right)^4=.4019\]