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Mathematics 22 Online
OpenStudy (anonymous):

if the births of boys and girls are equally likely, determine the probability that: (A) In a family of two children there are: (i) two girls (ii) no girl (iii) one girl and one boy (B) In a family with three children there are: (i) three boys (ii)two girls and one boy (iii)more boys than girls

OpenStudy (anonymous):

This question occupies millions of pages on the internet.

OpenStudy (anonymous):

really? how hard is this?

OpenStudy (anonymous):

unbelievably hard :) my answers are wrong lol

OpenStudy (anonymous):

assuming equally likely and also assuming independence then there are four possibilities for first one b, b b, g g, b g, g

OpenStudy (anonymous):

yep got that

OpenStudy (anonymous):

What answers did you get when you tried it?

OpenStudy (anonymous):

1/4,1/4,1/2

OpenStudy (anonymous):

so i) two girls: \[p=\frac{1}{4}\]

OpenStudy (anonymous):

ii) no girls \[p=\frac{1}{4}\]

OpenStudy (anonymous):

I rember at uni, ju8st part 3 went on for about 150 posts...

OpenStudy (anonymous):

Those are correct.

OpenStudy (anonymous):

one girl and one boy \[p=\frac{2}{4}=\frac{1}{2}\]

OpenStudy (anonymous):

part B there are 8 possibilities

OpenStudy (anonymous):

you can use a formula but 8 is so small you might as well list them

OpenStudy (anonymous):

b b b b b g b g b g b b g g b g b g b g g g g g

OpenStudy (anonymous):

ok i got it lol

OpenStudy (anonymous):

Actually, I think it was this http://en.wikipedia.org/wiki/Boy_or_Girl_paradox

OpenStudy (anonymous):

now it is a matter of counting. i am wondering why there is any problem here. like saying "toss three coins what is the probability that you get ..."

OpenStudy (anonymous):

aah that is a different story. this is like what is the probability the king has a sister. got it

OpenStudy (anonymous):

i was using some unnecessary method

OpenStudy (anonymous):

with 8 choices, might as well count

OpenStudy (anonymous):

thanks heaps:)

OpenStudy (anonymous):

i havent done probabilty for a while lol

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