Theoretical and Experimental Probability Answers

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1
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Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A
A = {KL}
B
A = {KJ, KL}
C
A = {KL, LK}
D
A = {KJ, KL, LJ}
2
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A real estate map shows a 100-acre property:

A
0.30
B
0.70
C
0.40
D
0.60
3

An insurance company predicts a 10% chance of an accident for drivers in a year. Out of 500 drivers, 65 report accidents.

A
It is equal to the theoretical probability.
B
It is greater than the theoretical probability.
C
It is less than the theoretical probability.
D
It cannot be determined.
4

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

A
S = {FGI, GFI, IFG}
B
S = {FGI, FIG, GFI, GIF}
C
S = {FGI, FIG, GFI, GIF, IFG, IGF}
D
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}

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