From a set of `100` cards numbered `1` to `100`, one card is drawn at random the probability that the number obtained on the card is divisible by `6` or `8` but not by `24` is

Options

A. a) `6/25`
B. b) `1/4`
C. c) `1/6`
D. d) `1/5`

Answer

d) `1/5`

Explanation

Let,


Total sample space `=100`


`S=` number is divisible by either `6` or `8` but not by `24`


There are 20 such numbers


`n(S)=20`


`P=20/100=1/5`


Hence, correct option is d)