Question

probability of choosing a number between 1to 100 who has odd number of factor

Answer 1

Given:

The numbers from 1 to 100

To find:

The probability of choosing a number between 1 and 100 that has an odd number of factors

Solution:

Only the numbers that are perfect squares have an odd number of factors. There are ten perfect squares between 1 and 100.

∴ Number of numbers that have an odd number of factors=10

Total number of numbers between 1 and 100=100

∴ The probability of choosing a number between 1 to 100 that has an odd number of factors,

P(A)= $\frac{Number of numbers that have an odd number of factors}{Total number of numbers between 1 and 100}$

⇒P(A)=$\frac{10}{100}$

⇒P(A)=$\frac{1}{10}$

Hence, the probability of choosing a number between 1 to 100 that has an odd number of factors is $\frac{1}{10}$.

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