There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are true? Check all that apply.

There is approximately a 27 percent likelihood that one boy and one girl will be chosen to practice first.

There is approximately a 52 percent likelihood that one boy and one girl will be chosen to practice first.

There is approximately a 19 percent likelihood that two boys will be chosen to practice first.

There is approximately a 19 percent likelihood that two girls will be chosen to practice first.

There is approximately a 29 percent likelihood that two girls will be chosen to practice first.

Question

Antony Estrada

Mathematics

28 July, 11:49

There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are true? Check all that apply.

There is approximately a 27 percent likelihood that one boy and one girl will be chosen to practice first.

There is approximately a 52 percent likelihood that one boy and one girl will be chosen to practice first.

There is approximately a 19 percent likelihood that two boys will be chosen to practice first.

There is approximately a 19 percent likelihood that two girls will be chosen to practice first.

There is approximately a 29 percent likelihood that two girls will be chosen to practice first.

+5

Answers (2)

Know the Answer?

Lukas Lester · Answer 1

The second, third, and fifth answer are the correct choices.

One girl and one boy = (12C1*10C1) / 22C2 = about 52%

Two boys = 10C2/22C2 = about 19%

Two girls = 12C2/22C2 = about 29%

Landyn Cantu · Answer 2

Since there are 22 participants all in all. The possible combinations of the two picked for practice first is,

22C2 = 231

The probability of picking one from each gender will be solved through the calculation below.

(10C1) x (12C1) / 231 = 40/77

In percentage, the answer would be approximately 52%. Thus, the answer is the first choice.