For each of the following, assume you are working with a standard deck of 52 cards. There are 13 cards (2,3,4,5,6,7,8,9,10, jack, queen, king and Ace) in each of four suits (Clubs, Diamonds, Hearts, and Spades).

Question

a. What is P(Club) when drawing one card?
b. What is P(Jack) when drawing one card?
c. What is P(Jack n Clubs) when drawing one card?
d. What is P(Jack U Clubs) when drawing one card?
e. What is the P(Jack/Face Card) when drawing one card? This roughly translates to what is the probability of getting a Jack if you know the card is a face card.
f. What is the P(Red/Heart) when drawing one card

Answer 1

a. 1/4
b. 4/52 = 1/13
c. 1/52
d. 13 clubs including jack and 3 other jacks = 16/52
e. 16 face cards , 4 are Jacks 4/16 = 1/4
f if we know we got a heart, it is red 13/13 = 1

Answer 2

Thank you