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

Sample space:

000
001 
010
011
100
101
110
111   

From the sample space, total = 8

At least one 0,  there are 7 with at least one 0

Probability =  Possible outcome / Total =  7/8