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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 five given the card is a not a club.
· a heart given the card is red.
· a face card, given that the card is black.
Show step by step work. Give all solutions exactly in reduced fraction form.
 2 years ago
 2 years ago
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 five given the card is a not a club. · a heart given the card is red. · a face card, given that the card is black. Show step by step work. Give all solutions exactly in reduced fraction form.
 2 years ago
 2 years ago

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satellite73Best ResponseYou've already chosen the best response.0
the condition "is not a club" is unimportant. you have 12 face cards and four aces???
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
if it really has 12 face cards then there is no 5. what kind of trick deck is this?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
if it is really a standard deck then there are 13 cards of each denomination, one is a 5 and the probability you pick a 5 is \[\frac{1}{13}\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
of the red cards, half are diamonds and half are hearts so probability you pick a heart is \[\frac{1}{2}\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
out of each suit of 13 cards 3 are face cards so probability you get a face card is \[\frac{3}{13}\]
 2 years ago

mathematicalproBest ResponseYou've already chosen the best response.1
probability of selecting a five given the card is a not a club clubs,hearts,spades,diamonds there are 4 fives in standard deck so, 3/52
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
HOWEVER this line A standard deck of cards has 12 face cards and four Aces makes no sense at all
 2 years ago

hahdBest ResponseYou've already chosen the best response.0
wouldnt it just be 3/(544)
 2 years ago

hahdBest ResponseYou've already chosen the best response.0
oh crap sorry didnt read question properly
 2 years ago

hahdBest ResponseYou've already chosen the best response.0
cause all of clubs are gone
 2 years ago

mathematicalproBest ResponseYou've already chosen the best response.1
1.probability of selecting a five given the card is a not a club clubs,hearts,spades,diamonds there are 4 fives in standard deck so, 3/52 2. a heart given the card is red. there are 13 hearts in a deck so, 13/52=1/4 3.a face card, given that the card is black. there are 12 face cards in a deck and 6 of them are black so, 6/52=3/26
 2 years ago
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