Answer to Question #316395 in Statistics and Probability for ash

Question

Question: A card is drawn from a standard deck. Find each of the following conditional probabilities, use the formulas and show your work.

a) The card is a queen, given it is a face card.

b) The card is a king, given that it is a spade.

c) The card is a spade, given that it is a king.

Answer 1

a) $P=\frac{4}{12}=\frac{1}{3}.$

b) $P=\frac{1}{13}.$

c) $P=\frac{1}{4}.$