The probability that a multiple of 4 or 5 is chosen is 2/5.
The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20
The probability of choosing a multiple of 4
25/100 = 1/4
The probability of choosing a multiple of 5
20/100 = 1/5
The probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice.
5/100 = 1/20
20, 40, 60, 80, 100
When or is used, add the probabilities, and subtract the duplicates.
1/4 + 15 - 1/20
=5/20 + 4/20 - 1/20
= 8/20
= 2/5
The probability that a multiple of 4 or 5 is chosen is 2/5.
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