SOLUTION: 3. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selectin

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Question 442416: 3. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

· a three given the card is a not a face card.
· a four, given that the card is not a diamond.
· a Jack given the card is not a face card.

Show step by step work. Give all solutions exactly in reduced fraction form.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

A card is selected from a standard deck of 52 playing cards



P(A|B) = P(A and B)/P(B)



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

P(a four, | the card is not a diamond)= 3/52 / 39/52 = 3/39 = 1/13

P(a Jack  |the card is not a face card) = 0