Question

two dice are rolled what is the probability that the sum of the dice is atleast 5, given that one die is showing a 2

Answer 1

If it is known that one die is showing a 2, then the probability that the sum of the dice is at least 5, is the probability that the other die shows 3 or 4 or 5 or 6, i. e. 4/6=2/3=0.666.

Answer 2

Explanation:

the sum of the dice is at least 5

one die is showing a 2

2 and 3

2 and 4

2 and 5

2 and 6

4 out of 36 ways to get the sum at least 5 and one die is always 2

Probability = 4/36 = 1/9