A new drug is successful 80% of the time. A student would like to simulate the probability that if 5 people are given the drug it will be successful on exactly 3 of them. She will randomly choose digits with equal probability from 0, 1, 2, ..., 9 to represent each individual. How should she assign outcomes?
A) Digits 0 to 2 represent successful treatment while digits 3 to 9 represent failure.
B) Digits 0 to 4 represent successful treatment while digits 4 to 9 represent failure.
C) Digits 0 to 7 represent successful treatment while digits 8 and 9 represent failure.
D) Digits 0 to 8 represent successful treatment while digit 9 represents failure.

Question

Quizplus · Accepted Answer

Since the drug is successful 80% of the time, the simulation should reflect this probability. Option C, where digits 0 to 7 (8 out of 10 digits, or 80%) represent a successful treatment and digits 8 and 9 (2 out of 10 digits, or 20%) represent failure, accurately simulates this probability.

A New Drug Is Successful 80% of the Time