First slide

Introduction to probability

Question

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be a remainder is

Moderate

A

$\frac{14}{19}$
B

$\frac{5}{19}$
C

$\frac{5}{6}$
D

$\frac{7}{15}$

Solution

The number of composite numbers in 1 to 30 is n(S) = 19.
The number of composite numbers when divided by 5 leaves a remainder is n(E) = 14. Therefore, the required probability is 14/19.

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