a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls

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Answer:

16/121

Step-by-step explanation:

First, we need to calculate the chance of a girl being selected for the first pick.

Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.

Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.

[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]

Therefore, the chance of the first two selections being girls is 16/121.

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