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Mathematics, 12.05.2021 21:30 oof40
50 POINTS
When Josiah buys a ticket at the local movie theater, he receives 100 reward points to use toward future purchases. He is offered a scratch-off card instead of the points, which will allow him to try for a higher point value. The three possible point awards on the scratch-off card are 25, 100, and 120. There is an equal number of cards for each point award in the stack he chooses the card from.
Which statement is true?
A
The best option is to take the 100 points because the expected value of the points from the scratch-off card is less than 100 points.
B
The best option is to take the scratch-off card because two of the three possible point values on the card are the same or greater than the 100 points.
C
The best option is to take the scratch-off card because the 120-point value that is on the card is greater than 100 points.
D
The best option is to take the 100 points because the probability of being awarded more than 100 points on the scratch-off card is zero.
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50 POINTS
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