Question

The integers from 1 to 30 inclusive are written on cards. These cards put in a box and well mixed Prakash picked up one card, What is the probability that his card has a prime number ?

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $\frac{1}{3}$
• D. $\frac{1}{5}$

Answer 1

The correct option is C $\frac{1}{3}$

Total outcomes $=30$
Favourable outcome $=2,3,5,7,11,13,17,19,23,29=10$
$\therefore$ Required probability
$=\frac{10}{30}=\frac{1}{3}$