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Sagot :
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 option (A) is correct.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Since, there is an equal number of cards of point 25, 100, and 120
P(x =25) = P(x =100) = P(x =200) = 1/3
x: 25 100 120
P(x): 1/3 1/3 1/3
The expected value is:
E(x) = 25×(1/3) + 100×(1/3) + 125×(1/3)
E(x) = 245/3 < 300/3 = 100
Thus, 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 option (A) is correct.
Learn more about the probability here:
brainly.com/question/11234923
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