Question

Amy, Bess, Cassie, Diana, and Ellen are a basketball team. Two of them will be guards. Assuming they all have an equal chance of becoming guards, what is the probability that Diana will be a guard

Answer 1

5 girls at equal chances for 2 spots : 2/5

Answer 2

The probability that Diana will be guard is
`(2)/(5)`.

Explanation:

We are given that,

Total number of girls in the team = 5

Number of girls to be selected as guards = 2.

Since, we have to find the probability that Diana will be guard.

So, we have,

The probability that Diana will be a guard =
`\frac{\binom{2}{1}}{\binom{5}{1}}=(2)/(5)`

Thus, the probability that Diana will be guard is
`(2)/(5)`.