Question

When a die is thrown, what is the probability that the number is greater than 1, given that it is odd?
1/5
3/5
4/5
2/3

Answer 1

Answer on Question #47199 – Math – Statistics and Probability

When a die is thrown, what is the probability that the number is greater than 1, given that it is odd?

1/5

3/5

4/5

2/3

Solution

When a die is thrown, 6 outcomes are possible: 1, 2, 3, 4, 5 or 6.

By definition of conditional probability, the probability that the number is greater than 1, given that it is odd, is

$$P(\text{greater than 1 | odd number}) = \frac{P(\text{greater than 1} \cap \text{odd number})}{P(\text{odd number})} = \frac{P(3 \text{ or } 5)}{P(1 \text{ or } 3 \text{ or } 5)} = \frac{\frac{2}{6}}{\frac{3}{6}} = \frac{2}{3}.$$

Answer: $\frac{2}{3}$

www.AssignmentExpert.com