Question

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 at least one 0.

Answer 1

D. 000, 001, 010, 011, 100, 101, 110, 111; the probability is StartFraction 3 Over 8 EndFraction.

Explanation:

EDG2021

Answer 2

sample space = (0 0 0), (0 0 1), (0 1 0), (1 0 0), (0 1 1), (1 0 1), (1 1 0), (1 1 1)
P(at least one 0) = 7/8