probability question?

Question

A family has 5 children. What is the probability if theres 2 girls and 3 boys. (A girl has a probability of 1/2).

Answer 1

5!/2!3! x (1/2)^5 = 10/32

The possibilities for 5 children are:
5 boys 5!/5!0! x (1/2)^5 = 1/32
4 boys 5!/4!1! x (1/2)^5 = 5/32
3 boys 5!/3!2! x (1/2)^5 = 10/32
2 boys 5!/2!3! x (1/2)^5 = 10/32
1 boy 5!/1!4! x (1/2)^5 = 5/32
0 boys 5!/0!5! x (1/2)^5 = 1/32

Answer 2

You have 5 children with one being a girl or a boy equiprobably (that is, BTW, not the case in Real Life :) )

So you have a number of satisfying cases equal to 10, whille your total number of cases being 2^5=32. The answer is thus 10/32=5/16. Surely not 2/5 or 40% as others say!

Answer 3

2/5

Answer 4

Probability = 5C2 (1/2)^5 = 10/32 = 5/16

Answer 5

5/16.

There are 32 possible ways for the 5 children to be born.
2*2*2*2*2 (with each space representing the number of possible outcomes of birth (male or female))

of those 32 possible combinations, 10 contain some combination of 2 boys and 3 girls:
GGBBB
GBGBB
GBBGB
GBBBG
BGGBB
BGBGB
BGBBG
BBGGB
BBGBG
BBBGG


Thus the probability is 10/32 = 5/16

Answer 6

ggggg bbbbb
ggggb bbbbg
gggbg bbbgb
ggbgg bbgbb 6/22 or 3/11
gbggg bgbbb
gbbgg bggbb
ggbbg bbggb
gggbb bbbgg
gbbbg bgggb
ggbbb ggbbb
gbbbb bgggg

sorry if it is wrong

Answer 7

2C5=5!/(2!*3!)=120/(2*6)=10 so probability=0.1.

Answer 8

there is no probability for that. it is completely random. however your mathematical equivalent is 40% chance on a girl being born.

Answer 9

what is the probability of WHAT??