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) $\frac{2}{5}$

Answer 1

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