# Cards, each marked with one of the numbers 6, 7, 8,..., 15, are placed in a box and mixed thoroughly.

**Question:**

Cards, each marked with one of the numbers 6, 7, 8,..., 15, are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with a number less than 10?

(a) $\frac{3}{5}$

(b) $\frac{1}{3}$

(c) $\frac{1}{2}$

(d) $\frac{2}{5}$

**Solution:**

(d) $\frac{2}{5}$

Explanation:

All possible outcomes are 6, 7, 8................15.

Number of all possible outcomes = 10

Out of these, the numbers that are less than 10 are 6, 7, 8 and 9.

Number of favourable outcomes = 4

Number of favourable outcomes = 4

$\therefore P($ getting a number that is less than 10$)=\frac{4}{10}=\frac{2}{5}$