Question

Let X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits. What are the possible values of X? Give three possible outcomes and their associated X values

Answer 1

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes Associated X values

12345 5

04555 4

00001 1

Explanation:

Here, X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes Associated X values

12345 5

04555 4

00001 1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes Associated X values

12345 5

04555 4

00001 1