Question

A card is drawn from a deck of well shuffled cards. Determine the probability that the card is either queen or heart.

Answer 1

How many queens are there in 52 cards??

Answer 2

4

Answer 3

Yes..
So probability of selecting a queen will be 4 by 52..

Getting??

Answer 4

yes

Answer 5

And now tell me, how many hearts are there in 52??

Answer 6

4

Answer 7

Really??

Answer 8

Total heart cards are :13

Answer 9

oh yes yes sorry

Answer 10

can you tell me now the probability of choosing a heart??

Answer 11

this i dont understnd, 13 or 12?

Answer 12

What 13 or 12??

There are 13 hearts are there..
Total cards are 52 now find the probability..

Answer 13

13/52

Answer 14

Yes you are right..

Now the required probability is sum of these two probabilities..

Just add 4/52 + 13/52

can you add them??

Answer 15

17/52

Answer 16

Yeah you got it right..

Answer 17

Hold up. There's one thing you forgot. Both of those sums are counting the queen of hearts. That means you also need to subtract 1/52.

Answer 18

no but its the wrong ans

Answer 19

@KingGeorge: i dont get it

Answer 20

There is queen in the heart too...
So @KingGeorge is saying right..

Answer 21

Your solution should be 4/52+13/52-1/52. You need to subtract the queen since you've counted it twice.

Answer 22

what is the probability of getting a queen of hearts 1/52
you have to subtract it from the result..

Answer 23

dont understand why we subtract

Answer 24

\[P(A\text{ or }B)=P(A)+P(B)-P(A\text{ and }B)\]

Answer 25

general addition rule

Answer 26

P(A)=4/52

Answer 27

A and B are queen and heart. Right?

Answer 28

yes

Answer 29

Queen and Heart=queen of hearts

Answer 30

What is the problem you are facing??

Answer 31

See, there are 4 queens in 52 cads in which one queen is of heart..
Firstly we find the probability of queen..
Then we find the probability of heats but in there is a queen in hearts too, so probability of getting a heart will be 13/52

But in both the probabilities there is one intersection that is the queen of hearts..

So, total probability will be :

\[= \frac{4}{52} + \frac{13}{52} - \frac{1}{52}\]

Answer 32

@waterineyes: Oh thank you, I get it now!

Answer 33

Welcome dear..