3
QuizMultiple Choice

Sample Space

Question 3 • CARE_24_25_TX-Mathematical Models with Applications B

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0.

Question illustration
Answer
A
000, 001, 010, 011, 100, 101, 110, 111; the probability is .
B
001, 011, 101, 111; the probability is .
C
000, 010, 011, 101, 111; the probability is .
D
000, 001, 010, 011, 100, 101, 110, 111; the probability is .
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