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Mathematics 23 Online
OpenStudy (anonymous):

MORE PROBABILITY :\ In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth.

Parth (parthkohli):

That is more like using Pascal's triangle.

Parth (parthkohli):

Refer to line 4: 1 4 6 4 1

Parth (parthkohli):

1 ---> (4 girls) 4 ---> (3 girls, 1 boy) 6 ---> (2 girls, 2 boys) 4 ---> (3 boys, a girl) 1 ---> (4 boys)

Parth (parthkohli):

Now, the probability of having 2 girls and 2 boys is \(\Large {6 \over \text{Sum of 1 + 4 + 6 + 4 + 1}}\)

OpenStudy (anonymous):

ah hah !!

OpenStudy (anonymous):

how do i know to look to line 4? Is it because they have 4 kids???

Parth (parthkohli):

Yes, exactly :)

OpenStudy (anonymous):

will this triangle always be set up the same??

OpenStudy (anonymous):

sorry i know it is a dumb question lol

Parth (parthkohli):

Yeah, have you ever heard of Pascal's Triangle? It remains the same :P

OpenStudy (anonymous):

im taking all online so i am having a lil trouble lol, i am getting 21 but this is not one of my options :/

Parth (parthkohli):

21? I told you that it's \[ 6 \over 1 + 4 + 6 + 4 + 1\]

OpenStudy (anonymous):

1/8,1/4,1/2, or 1/16?

Parth (parthkohli):

Huh?

OpenStudy (anonymous):

omg sorry lol

OpenStudy (anonymous):

i tend to overcomplicate things for some odd reason lol 1/16 , right in my face

Parth (parthkohli):

Huh? Not 1/16.

Parth (parthkohli):

What is \(1 + 4 + 6 + 4 + 1\)?

OpenStudy (anonymous):

16

Parth (parthkohli):

All right. So what is \(\Large{6 \over 16}\)?

OpenStudy (anonymous):

3/8

OpenStudy (anonymous):

not in my solution options though

Parth (parthkohli):

What? Oops.

OpenStudy (anonymous):

yea i am stumped

Parth (parthkohli):

Me too, in a way.

OpenStudy (anonymous):

hmmmmm

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