4
QuizMultiple Choice

Experimental vs. Theoretical Probability

Question 4 • HCISD-Mathematical Models with Applications B-CR SUMMER

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

Answer
A
111
B
125
C
143
D
250

Explanation

There are 8 cards, and only one is numbered 4, so the probability of drawing a 4 on each trial is 1/8. Over 1,000 trials, the predicted number of 4s is 1,000 × 1/8 = 125. Therefore, the best prediction is 125.

AI-written and checked against the verified answer.

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