## anonymous 5 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.

1. anonymous

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

2. anonymous

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

3. anonymous

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 $\frac{1}{13}$

4. anonymous

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

5. anonymous

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

6. anonymous

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

7. anonymous

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

8. anonymous

why?

9. anonymous

wouldnt it just be 3/(54-4)

10. anonymous

so 3/50

11. anonymous

@hahd why 54-4

12. anonymous

oh crap sorry didnt read question properly

13. anonymous

i mean 52-13

14. anonymous

sorry just wokeup

15. anonymous

cause all of clubs are gone

16. anonymous

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

17. anonymous

what is 3/52 = to

18. anonymous

its 3/52