Determine the probability of 3 sixes in 5 tosses on a fair die.

Answer 1

Prob(a 6) = 1/6 , prob(not a 6) = 5/6
so in 5 tosses you want that 3 times
Prob(of your event)
= C(5,3) (1/6)^3 (5/6)^2
= 10(1/216)(25/36)
= 125/3888 or appr .03215