Question

$15$ cards numbered $1,2,3,4,...,14,15$ are put in a box and mixed thoroughly. A man draws a card at random form the box. Find the probability that the number on the card is divisible by $2$ and $3$.

Answer 1

We have,

Toatl number of cards $=15$

Number of card is divisible by $2$ and $3$$=(2,3,4,6,8,9,10,12,14,15)=10$

So,

The probability of is divisible by $2$ and $3$ $=\frac{10}{15}=\frac{2}{3}$

Hence, this is the answer.