## keebler01 Group Title 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

1. satellite73 Group Title

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

2. satellite73 Group Title

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

3. satellite73 Group Title

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. satellite73 Group Title

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

5. satellite73 Group Title

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

6. mathematicalpro Group Title

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. satellite73 Group Title

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

8. mathematicalpro Group Title

why?

9. hahd Group Title

wouldnt it just be 3/(54-4)

10. hahd Group Title

so 3/50

11. mathematicalpro Group Title

@hahd why 54-4

12. hahd Group Title

oh crap sorry didnt read question properly

13. hahd Group Title

i mean 52-13

14. hahd Group Title

sorry just wokeup

15. hahd Group Title

cause all of clubs are gone

16. mathematicalpro Group Title

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. keebler01 Group Title

what is 3/52 = to

18. mathematicalpro Group Title

its 3/52