Probability with Combinations and Permutations Answers

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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.

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.
3

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.
5

✔ 0.10.40.50.6

A
✔ 0.1
B
0.4
C
0.5
D
0.6
6

0.10.5✔ 0.60.8

A
0.1
B
0.5
C
✔ 0.6
D
0.8
8

0.000020.00182✔ 0.309350.69065

A
0.00002
B
0.00182
C
✔ 0.30935
D
0.69065
9

0.00160✔ 0.038460.192310.80769

A
0.00160
B
✔ 0.03846
C
0.19231
D
0.80769
10

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

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