Question

If a single fair die is rolled, find the probability that the number rolled is 5 given that it is odd.

a. 1/6
b. 1/3
c. 1/2
d. 2/3

Answer 1

The probability that the number rolled is 5 given that it is odd is 1/3.

Step-by-step explanation:

To find the probability that the number rolled is 5 given that it is odd, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, the favorable outcome is rolling a 5, and the total number of possible outcomes is the set {1, 3, 5}. Since there is only one favorable outcome and a total of three possible outcomes, the probability is 1/3.

Answer: b. 1/3