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Probability with Combinations and Permutations Answers

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3

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.

A
There is approximately a 27 percent likelihood that one boy and one girl will be chosen to practice first.
B
There is approximately a 52 percent likelihood that one boy and one girl will be chosen to practice first.
C
There is approximately a 19 percent likelihood that two boys will be chosen to practice first.
D
There is approximately a 19 percent likelihood that two girls will be chosen to practice first.
E
There is approximately a 29 percent likelihood that two girls will be chosen to practice first.
4

Which statements are true? Check all that apply.

A
The total possible outcomes can be found using 52C5.
B
The total possible outcomes can be found using 52P5.
C
The probability of choosing two diamonds and three hearts is 0.089.
D
The probability of choosing five spades is roughly 0.05
E
The probability of choosing five clubs is roughly 0.0005.
6

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7

Determine which scenario could be found using P(A) =

Question illustration
A
probability of choosing two even numbers and one odd number for a three-digit lock code
B
probability of choosing first-place, second-place, and third-place winners from schools with five and eight competitors, respectively
C
probability of choosing two male and one female committee members from a group containing five men and eight women
D
probability of choosing two yellow marbles and one red marble from a bag containing three yellow marbles, four red marbles, and five green marbles
8

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