Chapter 12, Problem 13MCQ

To determine

To find :Probability that both rolls were even, given atleast one was $2$.

Answer to Problem 13MCQ

  $\frac{\text{5}}{\text{9}}$

Explanation of Solution

Given information :

We know that, two dice are rolled.

Calculation:

Outcomes with both rolls as even are

  $\text{(2, 2), (3, 5), (2, 6), (4, 2), (4, 4)}$

  $\text{(4, 6), (6, 2), (6, 4), (6, 6) i}\text{.e}\text{. 9}$ outcomes.

Outcomes with atleast one roll as $2$ are

  $\text{(2, 2), (2, 4), (2, 6), (4, 2), (6, 2)}$ i.e. $\text{5}$ outcomes.

Required probability = $\frac{5}{9}$