Question

While playing a board game, you roll two different colored standard dice. What is the probability of rolling a 5 on the black die and a number less than 4 on the red die?

1 10


1 12


2 3


1 2

Answer 1

Answer is 1/12

Explanation:

sample space of rolling a die is={1,2,3,4,5,6}

A: rolling a 5 on the black die

A:{5}

hence, P(A)=1/6

B: rolling a number less than 4 on red die

B:{1,2,3}

hence, P(B)=3/6

A∩B: rolling a 5 on the black die and a number less than 4 on the red die

Since, both events are independent

Hence, P(A∩B)=P(A)×P(B)

=1/6×3/6

=1/12

hence, probability of rolling a 5 on the black die and a number less than 4 on the red die is 1/12