Question

a standard deck of cards contains 52 cards. there are four suits, (diamonds, spades, clubs, hearts), with 13 cards per suit. given that a card chosen out of a standard deck is a diamond, what is the probability that it is a face card (king, queen, or jack)?
\\(\frac{3}{13}\\)
\\(\frac{4}{13}\\)
\\(\frac{13}{52}\\)
\\(\frac{3}{52}\\)

Explanation:

Step1: Identify given condition

We know the card is a diamond. There are 13 diamond cards.

Step2: Count diamond face cards

Each suit has 3 face cards (king, queen, jack). So diamonds have 3 face cards.

Step3: Calculate probability

Probability = (Number of diamond face cards) / (Total diamond cards) = $\frac{3}{13}$

Answer:

A. $\frac{3}{13}$