Target Exam

CUET

Subject

Maths. Section B1

Chapter

Probability

Question:

Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card red and second card Jack?

Options:

$\frac{1}{26}$

$\frac{1}{52}$

$\frac{25}{102}$

$\frac{1}{13}$

Correct Answer:

$\frac{1}{26}$

Explanation:

The correct answer is Option (1) → $\frac{1}{26}$ ##

The required probability = P[(The first is a red jack card and the second is a jack card) or (The first is a red non-jack card and the second is a jack card)]

$= \frac{2}{52} \times \frac{3}{51} + \frac{24}{52} \times \frac{4}{51} = \frac{1}{26}$