Answer the following questions The game of Befuddled involve

Answer the following questions.

The game of Befuddled involves rolling a balanced, seven-sided die marked with the numbers, 1,2,3,4,5,6, and 7. Suppose the die is rolled six times in succession. Calculate the probability that the six rolls will result in exactly two 3\'s by using the binomial formula.

a. What is \"n\" ?

b. What is \"p\" ?

c. What is \"q\" ?

D. What is \"r\" ?

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( Probability getting numkber two) = 1/7 = 0.1429

P( X = 2 ) = ( 6 2 ) * ( 0.1429^2) * ( 1 - 0.1429 )^4
= 0.1653