Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:
One card is drawn randomly from a pack of \(52\) cards, then probability that it is a king or spade is
Options:
\(\frac{2}{13}\)
\(\frac{3}{13}\)
\(\frac{4}{13}\)
\(\frac{5}{13}\)
Correct Answer:
\(\frac{4}{13}\)
Explanation:
\(\begin{aligned}P(\text{ king or spade })&=P(\text{ king })+P(\text{ spade })-P(\text{ king and spade })\\ &=\frac{1}{13}+\frac{1}{4}-\frac{1}{52}\\ &=\frac{4}{13}\end{aligned}\)