Question

A poker hand of 5 cards is dealt from a standard deck. What is the probability that the jack, queen, and king of hearts but no other hearts are in the same hand?

Answer 1

What is the probability that one card is the hand is jack of hearts?

Answer 2

1/52

Answer 3

a hand has 5 cards

Answer 4

lemme think

Answer 5

it it 1/ 52C5 ?

Answer 6

rawrrr i dont think thats correct

Answer 7

am i completely off?

Answer 8

5/52

Answer 9

isn't it?

Answer 10

hmmmm

Answer 11

so what is the probability of Jack and Queen of hearts?

Answer 12

hmmm i dont think i agree with you

Answer 13

ok

Answer 14

show me what u got in mind

Answer 15

1/52 x 1/51 x 1/50 x 39/49 x 38/48 x 5!

Answer 16

= 5/52 x 4/51 x 3/50 x 2*39/49 x 38/48

Answer 17

Interesting .... This is what I got
Total sample space is 52C5 right?

Answer 18

like we have 52 cards and we only choose 5

Answer 19

yeah

Answer 20

Event A = Picking Jack of hearts, King of hearts and Queen of hearts and 2 other cards that are not a heart
Event A = 1*1*1*(52-13)*(52-14)
Event A = 1*1*1*39*38

Probability of Event A = Event A /Total Sample Space
=(39*38)/(52C5)

Answer 21

Our results agree.

Answer 22

oh yea???

Answer 23

19/ 33320 = 0.0000570....

Answer 24

sweeet

Answer 25

I guess in that case i can assume that my method is correct
Just for curiosity sake I would love to understand your method

Answer 26

Why you multiplying by 5! at the end?

Answer 27

because the 5 cards can be in any order

Answer 28

Oh ok i Get what you did .... Thanks

Answer 29

k I got one more question

Answer 30

Five students are randomly selected from seven boys and six girls to join a ski trip. What is the probability that All are girls

Answer 31

6/13 x 5/12 x ...

Answer 32

Im just wondering if I was to use my method what would be the total sample space

Answer 33

13 C 5?

Answer 34

how abt the girl and boy thing and divided into groups

Answer 35

ughhhh ur right -.-

Answer 36

dang it it was sooo simple

Answer 37

Gonna drive you insane one last time butttttt
What is the probability if there were more boys than girls
In that case we gotta look at 3 options : 5 Boys 0 Girls, 4 Boys and 1 Girl , 3 Boys and 2 Girls
So in this event you would take the probability of each scenario and then sum them all up correct?

Answer 38

that will work

Answer 39

how were you thinking of approaching this problem?

Answer 40

there are only the three cases to consider, so this is probably the easiest way

Answer 41

Ok Thanks!!!!!!!!!!
I really appreciate it that you took the time to help me