Question

A card is drawn from a deck of 52. Find the probability of drawing a red card (hearts or diamonds) OR a face card (jack, queen, or king)

Answer 1

How many red cards in a deck? How many face cards in a deck? How many are both?

Answer 2

26 red cards, 12 face cards, and 6 are both

Answer 3

@Paynesdad

Answer 4

go ahead @tomdelacruz u r correct

Answer 5

4/13. Got it.

Answer 6

Good job

Answer 7

\[\bf P(A∪B)=P(A)+P(B)-P(A∩B)\]
@tomdelacruz From what you mentioned about "6 being both", we note that the two events are not mutually exclusive. So just add the probabilities of each and subtract the probability of getting a card that is both. That's it.

Answer 8

There are 26 red cards and 12 face cards.Total cards in a deck=52
So 26/52 and 12/52
26/52=1/2
12/52=3/13
1/2+3/13=19/26.

Answer 9

@uri however those events are not mutually exclusive so you must subtract their intersection (6/52) which will result in 32/52 = 4/13

Answer 10

Ye,I was just trying.I don't even have this subject :p @Paynesdad

Answer 11

@uri not bad w/o taking the course.

Answer 12

@Paynesdad 32/52 is not = to 4/13

Answer 13

32/52 = 8/13

Answer 14

lol you are right ... my bad... must be getting tired.

Answer 15

@Paynesdad Thanks.Can you tell me where i went wrong?

Answer 16

Well you counted some cards twice. You counted the 26 red cards and the 12 face cards. However, 6 of the face cards are also red cards so the total number of either red cards or face cards is 26(red cards total) + 12(face cards total) - 6(cards that are both) = 32 out of 52 total. 32/52 as yahoo pointed out is 8/13 (not 4/13)

Answer 17

Oh yeaaaaaaaaah! :D

Answer 18

You're in which grade?

Answer 19

LOL ... I wish. I am an engineer now. I taught hs math for 15 years before that.

Answer 20

And coached wrestling...(sorry had to add that!... Save Olympic Wrestling)

Answer 21

I'm only 16.Next time you're teaching me Probability.

Answer 22

Anytime.