When a die is rolled twice what is the probability of rollin

When a die is rolled twice, what is the probability of rolling 0 or 1 twos?

A) 40%

B) 2.7%

C) 20%

D) 97.2

Solution

A die is rolled twice.

Total outcomes = 6x6 = 36

Prob for a two = 1/6

= 0.1667

Let X be the random variable for no of twos

x is binomial with p = 0.1667 and n = 2

P(X=0 or 2)

= P(0)+P(2)

=0.6944+0.0278

= 0.7222