Talamancoeb
2021-12-16
A family has five kids. Assume that each child has an equal chance of being a male or a girl. Find the probability that the family has 5 girls if it is known the family has at least one girl.
ol3i4c5s4hr
Beginner2021-12-17Added 48 answers
raefx88y
Beginner2021-12-18Added 26 answers
Step 1
A family has five kids. Assume that each child has an equal chance of being a boy or a girl. If it is known that the family has at least one girl, calculate the likelihood that there are 5 girls.
So, there are
(2 raised to the 5th power)
sequences of 5 children.
As we already know that only one of them is all female, the probability of five female births in a row when all births are independent and
is
Note, that this comes out to be the same as simply multiplying the probability of a girl five times because there is only one of these sequences. if you wanted to know the probability of 2 girls and 3 boys, you have to know how many sequences have 2 girls and 3 boys and adjust accordingly.
nick1337
Expert2021-12-28Added 777 answers
You have a
The chance the first is a girl is 50%. The chance the second is also 50%, and so on.
Therefore the chance that all five are girls is
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