Question

A single card is drawn from a standard deck of cards. Find the following probabilities. A face card is a jack, queen, or king.

P(face card | queen) = Correct: Your answer is correct.

P(three | not a face card)

Answer 1

Conditional probability
P(A|B) is defined as
P(A|B)=P(A∩B)/P(B)

Hence:
P(face card | queen)
=P(face card ∩ queen)/P(queen)
=P(queen)/P(queen)
=1

P(three|not a face card)
=P(three ∩ not a face card)/P(not a face card)
=(4/52)/(40/52)
=1/10