Question

Two cards are chosen at random from a standard deck of 52 playing cards. What is the probability of selecting a jack and a Spade from the deck?

(a) \(\frac{4}{13}\)

(b) \(\frac{1}{13}\)

(c) \(\frac{4}{13}\)

(d) \(\frac{1}{52}\)

I have been asked this question in semester exam.

My question is from Multiplication Theorem on Probability topic in section Discrete Probability of Discrete Mathematics

Answer 1

Correct choice is (d) \(\frac{1}{52}\)

The explanation: The required probability is : P(Jack or spade)  =  P(Jack)  * P(spade) = \(\frac{4}{52} * \frac{13}{52} = \frac{1}{52}\).