Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A card is selected at random from a pack of 52 playing cards. The selected card is a queen, the probability of this card to be a card of spade is:

Options:

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{4}{13}$

$\frac{1}{2}$

Correct Answer:

$\frac{1}{4}$

Explanation:

The correct answer is Option (2) → $\frac{1}{4}$

No of spade = 13

No. of queen in spade = 1

P(spade queen) = ${^{13}C}_1$

P(total cases) = ${^{52}C}_1$

P(spade queen) = $\frac{{^{13}C}_1}{{^{52}C}_1}=\frac{1}{4}$