Mathematics
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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.
13 years ago
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Parth (parthkohli):
That is more like using Pascal's triangle.
13 years ago
Parth (parthkohli):
Refer to line 4:
1 4 6 4 1
13 years ago
Parth (parthkohli):
1 ---> (4 girls)
4 ---> (3 girls, 1 boy)
6 ---> (2 girls, 2 boys)
4 ---> (3 boys, a girl)
1 ---> (4 boys)
13 years ago
Parth (parthkohli):
Now, the probability of having 2 girls and 2 boys is \(\Large {6 \over \text{Sum of 1 + 4 + 6 + 4 + 1}}\)
13 years ago
OpenStudy (anonymous):
ah hah !!
13 years ago
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OpenStudy (anonymous):
how do i know to look to line 4? Is it because they have 4 kids???
13 years ago
Parth (parthkohli):
Yes, exactly :)
13 years ago
OpenStudy (anonymous):
will this triangle always be set up the same??
13 years ago
OpenStudy (anonymous):
sorry i know it is a dumb question lol
13 years ago
Parth (parthkohli):
Yeah, have you ever heard of Pascal's Triangle? It remains the same :P
13 years ago
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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 :/
13 years ago
Parth (parthkohli):
21? I told you that it's \[ 6 \over 1 + 4 + 6 + 4 + 1\]
13 years ago
OpenStudy (anonymous):
1/8,1/4,1/2, or 1/16?
13 years ago
Parth (parthkohli):
Huh?
13 years ago
OpenStudy (anonymous):
omg sorry lol
13 years ago
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OpenStudy (anonymous):
i tend to overcomplicate things for some odd reason lol 1/16 , right in my face
13 years ago
Parth (parthkohli):
Huh? Not 1/16.
13 years ago
Parth (parthkohli):
What is \(1 + 4 + 6 + 4 + 1\)?
13 years ago
OpenStudy (anonymous):
16
13 years ago
Parth (parthkohli):
All right.
So what is \(\Large{6 \over 16}\)?
13 years ago
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OpenStudy (anonymous):
3/8
13 years ago
OpenStudy (anonymous):
not in my solution options though
13 years ago
Parth (parthkohli):
What? Oops.
13 years ago
OpenStudy (anonymous):
yea i am stumped
13 years ago
Parth (parthkohli):
Me too, in a way.
13 years ago
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OpenStudy (anonymous):
hmmmmm
13 years ago