Suppose an integer from 1 through 1000 is chosen at random, find … - Vidyadip

Question

Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.

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Answer

Number of multiples of 2 in 1 to 1000 are 500
Number of multiples of 9 in 1 to 1000 are 111
Out of 111, 55 are even numbers. So total favorables number are
500 + 56 = 556
Probability that integer is a multiple of 2 or a multiple of 9
$=\frac{556}{1000}=0.556$

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