# 11.4.1. Calculating Probability

If it’s required to form a two-digit number from the set of numbers , determine the event in which the units digit is an odd number.

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### Example

If it’s required to form a two-digit number from the set of numbers , determine the event in which the units digit is an odd number.

### Solution

Given that a two-digit number will be formed from the set of numbers , the sample space contains the following numbers: 22, 23, 24, 25, 27, 28, 29, 32, 33, 34, 35, 37, 38, 39, 42, 43, 44, 45, 47, 48, 49, 52, 53, 54, 55, 57, 58, 59, 72, 73, 74, 75, 77, 78, 79, 82, 83, 84, 85, 87, 88, 89, 92, 93, 94, 95, 97, 98, and 99.

Of these numbers, the ones that have an odd number for the units digit are 23, 25, 27, 29, 33, 35, 37, 39, 43, 45, 47, 49, 53, 55, 57, 59, 73, 75, 77, 79, 83, 85, 87, 89, 93, 95, 97, and 99.

Thus, the set representing the event for which all possible numbers having an odd number for the units digit, and only these numbers, are favorable outcomes is .

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