Question

15 cards numbered 1, 2, 3, .......15 are put in a box and mixed. One person draws a card form the box . Find the probability that the number in the cards is a prime number

• A. $\frac{7}{15}$
• B. $\frac{8}{15}$
• C. $\frac{2}{5}$
• D. $\frac{4}{5}$

Answer 1

The correct option is C $\frac{2}{5}$

Total number of possible outcomes$={15}^{-}$
Favourable outcomes are 2,3,5,7,11,13=6
$\therefore$ Required probability $=\frac{6}{15}=\frac{2}{5}.$