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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

Respuesta :

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

Answer:

The probability that Diana will be guard is [tex]\frac{2}{5}[/tex].

Step-by-step 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 = [tex]\frac{\binom{2}{1}}{\binom{5}{1}}=\frac{2}{5}[/tex]

Thus, the probability that Diana will be guard is [tex]\frac{2}{5}[/tex].

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