Question

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.

Answer 1

the condition "is not a club" is unimportant. you have 12 face cards and four aces???

Answer 2

if it really has 12 face cards then there is no 5. what kind of trick deck is this?

Answer 3

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
\[\frac{1}{13}\]

Answer 4

of the red cards, half are diamonds and half are hearts so probability you pick a heart is
\[\frac{1}{2}\]

Answer 5

out of each suit of 13 cards 3 are face cards so probability you get a face card is
\[\frac{3}{13}\]

Answer 6

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

Answer 7

HOWEVER this line
A standard deck of cards has 12 face cards and four Aces makes no sense at all

Answer 8

why?

Answer 9

wouldnt it just be 3/(54-4)

Answer 10

so 3/50

Answer 11

@hahd why 54-4

Answer 12

oh crap sorry didnt read question properly

Answer 13

i mean 52-13

Answer 14

sorry just wokeup

Answer 15

cause all of clubs are gone

Answer 16

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

Answer 17

what is 3/52 = to

Answer 18

its 3/52