SOLUTION: Let X denote the number of girls in a family with four children. Calculate P(X ≥ 3). I honestly don't even know where to begin with this. Can someone please explain ho

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Question 1130938: Let X denote the number of girls in a family with four children. Calculate P(X ≥ 3).
I honestly don't even know where to begin with this.
Can someone please explain how to solve such a question please?
Thank you!

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let X denote the number of girls in a family with four children. Calculate P(X ≥ 3).
I honestly don't even know where to begin with this.
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They want the probability that the number of girls is 3 or 4 in a family of four children:

+P%28X%3E=3%29+=+P%28X=3%29+%2B+P%28X=4%29+

+P%28X=3%29+=+%281%2F2%29%5E3%281%2F2%29%284C1%29+=+4%2F16+=+1%2F4+
P%28X=4%29+=+%281%2F2%29%5E4+=+1%2F16+

+P%28X%3E=3%29+=+4%2F16+%2B+1%2F16+=+highlight%28+5%2F16+%29+

To verify, we can enumerate all possible Boy/Girl families of four children:

BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
green%28BGGG%29
GBBB
GBBG
GBGB
green%28GBGG%29
GGBB
green%28GGBG%29
green%28GGGB%29
red%28GGGG%29