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Estimating Probabilities Using Simulation Practice Test
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Q1
A school counselor wants to estimate the probability that, in a randomly selected group of 5 students from a large school, at least 2 have birthdays in the same month. To simulate, the counselor uses a random number generator that produces integers 1–12 (each equally likely) to represent birth months, generates 5 numbers for one trial, records whether at least one month appears at least twice, and repeats this process 1000 trials. The simulation produced 327 successes. Which interpretation of the simulation results is correct?
A school counselor wants to estimate the probability that, in a randomly selected group of 5 students from a large school, at least 2 have birthdays in the same month. To simulate, the counselor uses a random number generator that produces integers 1–12 (each equally likely) to represent birth months, generates 5 numbers for one trial, records whether at least one month appears at least twice, and repeats this process 1000 trials. The simulation produced 327 successes. Which interpretation of the simulation results is correct?