Roll a dice 100 times What is the prob of getting 10 6s Roll

Solution

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial

P( X = 10 ) = ( 100 10 ) * ( 0.1667^10) * ( 1 - 0.1667 )^90
= 0.0214