Question

Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 80%. Which of these
groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6, 7, 8
B. 0, 1, 2, 3, 4, 5
C.0, 1, 2, 3, 4, 5, 6, 7
D. 0, 1, 2, 3, 4, 5, 6

Answer 1

Answer:  C.0, 1, 2, 3, 4, 5, 6, 7

========================================================

Explanation:

There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.

Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%

Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%