SOLUTION: If a family has six children, how do i calculate the probability that at least one is a girl?

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Question 328029: If a family has six children, how do i calculate the probability that at least one is a girl?
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You could look at the sample space of all possible combinations.
BBBBBB
BBBBBG
BBBBGB
BBBBGG
.
.
.
.
GGGGBG
GGGGGG
There are 2^6=64 of them and then count the ones that have a G in it.
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.
.
OR
.
.
.
At least one girl means not all boys.
P(all boys)+P(not all boys)=1
P(at least 1 girl)=1-P(all boys)
P(at least 1 girl)=
P(at least 1 girl)=
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If a family has six children, how do i calculate the probability that at least one is a girl?
Calculate the probability that there are 6 boys, then subtract that from 1.
Each is a 1/2 chance.
(1/2)^6 = 1/64, the chance of all 6 boys.
The chance of 1 or more girls = 63/64.
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