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$)=\frac{4}{10}=\frac{2}{5}$