Question

6 married couples are standing in a room. If 4 people are chosen at random, then the chance that exactly one married couple is among the 4 is???

Answer 1

@ganeshie8

Answer 2

No need to bother dan815... i got it done

Answer 3

may i see your solution

Answer 4

yeah...for sure..hold on

Answer 5

P(choosing any one couple) = (6 choose 1)/(12 choose 2)

Answer 6

So
P(Success) = 1/11
P(not Success) = 10/11

Answer 7

@dan815 got it??

Answer 8

not yet, how to carry on ganeshie? 1/11 success and 10/11 fail

Answer 9

see total ways of selecting 4 people = 12C4

Answer 10

yes

Answer 11

now we need one couple...so it would be 6C1....which means we have chosen 2 persons...now we need to get 2 more people which r not couple

Answer 12

right

Answer 13

so we select 2 couples from the left 5C2..and after that we select one person from each two couple we chose...it would be 2C1*2C1

Answer 14

thats cool

Answer 15

didnt think you can think of picking 2 people out of the 5 left couples like that

Answer 16

very nice :)

Answer 17

reminds me of subcommittees problems

Answer 18

@dan815 yeah u can...but it wont assure that the two chosen from the 5 couples left wouldnot belong to the couple

Answer 19

what do you mean by that
i dont see why they wouldnt belong to a couple

Answer 20

why they would*

Answer 21

another way is to take the negation :
(10 choose 2) - (5 choose 1)

Answer 22

the question says that there must be exactly one married couple among the 4

Answer 23

that gives u all the possible combinations for NOT-COUPLE ^

Answer 24

right wont this give you only 1 couple

Answer 25

(10 choose 2) - (5 choose 1)

is replacement for
(5 choose 2)*(2 choose 1)*(2 choose 1)

Answer 26

howd u get that genshie

Answer 27

10C2-5C1

Answer 28

pick two people from the remaining 10 people : 10C2

Answer 29

subtract all the possible couple combinations : 5C1

Answer 30

oh i see 5c1 ways to pick the remaining couple

Answer 31

so u subtracting froom all combinations that

Answer 32

okk thats cool :)

Answer 33

@LeilaJudeh

Answer 34

PPPPPPPPPPPPPUUUUUUUUUUUUUUUUUUUUUUUUUUUUUPPPPPPPPPPPPPPPPPPPPPPPPPPYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answer 35

lol....xD stray one

Answer 36

I WANT IIIIIIIITTTTTTTTTTTTTTTTTTTTTT

Answer 37

practically not possible.....lol..xDq

Answer 38

BUT I WANT IT ;-;

Answer 39

i can't help then.......xD

Answer 40

@LeilaJudeh wow u r as cute as him..<3 .....lmao....xD

Answer 41

hahahahaha ty ty xDDD

Answer 42

@LeilaJudeh

Answer 43

PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answer 44

his eyes??

Answer 45

so cute ;-;

Answer 46

loll.....xD

Answer 47

here

Answer 48

@LeilaJudeh

Answer 49

Ty love <333

Answer 50

u r most welcome.... ^^ @LeilaJudeh