Question

Out of the number 1 to 100, one is selected at random. What is the production that it is divisible by 7 or 8

Answer 1

the number selected is 21

Answer 2

Given:

Numbers 1, 2, 3, .., 100.

To find:

The probability of the number divisible by 7 or 8.

Solution:

The sample space = 100

The numbers divisible by 7 in 1 to 100 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

There are 14 numbers.

The numbers divisible by 8 in 1 to 100 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.

There are 12 numbers.

The numbers divisible by 7 or 8 = 25

Hence,  

By probability,

The probability of a number divisible by 7 or 8 = The numbers divisible by 7 or 8 / Sample space

25/100

Therefore, P(divisible by 7 or 8) = 1/4

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