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 exactly one 0.
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 .