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 remainder is `14//19` b. `5//19` c. `5//6` d. `7//15`

Options

A. `14//19`
B. `5//19`
C. `5//6`
D. `7//15`

Answer

A

Explanation

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`.