SOLUTION: a card is selected at random from an ordinary deck of 52 playing cards. consider the following A) hearts B) Face cards find the P(AnB)

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Question 1087500: a card is selected at random from an ordinary deck of 52 playing cards. consider the following
A) hearts
B) Face cards
find the P(AnB)

Found 2 solutions by Boreal, jim_thompson5910:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of a heart is 1/4
Probability of a face card is 3 cards in 4 suits or 12/52 or 3/13.
Probability of a heart intersecting with face card is 3 hearts/12 cards or 1/4

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

A = set of hearts
B = set of face cards
A intersect B = set of hearts AND face cards = set of face cards that are hearts

P(A intersect B) = (number of face cards that are hearts)/(number of cards total)
P(A intersect B) = 3/52