SOLUTION: Assuming all sex distributions to be equally probable, what proportion of families with exactly six children should be expected to have three boys and three girls?

Algebra.Com
Question 424648: Assuming all sex distributions to be equally probable, what proportion of families with exactly six children should be expected to have three boys and three girls?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Assuming all sex distributions to be equally probable, what proportion of families with exactly six children should be expected to have three boys and three girls?
----
# of 6-child families with 3 boys = 6C3 = 20
---
# of different boy-girl family patterns: 2^6 = 64
-------
Proportion: 20/64 = 5/16
============================
Cheers,
Stan H.

RELATED QUESTIONS

the sex distribution being equally probable, compute the expected number of girls in a... (answered by stanbon)
1. Suppose a survey of 890 families with 5 children was done a) What is the probability... (answered by solver91311)
Suppose a survey of 890 families with 5 children was done. a. what is the probability of (answered by stanbon)
The random variable x is the number of girls of 4 children to a couple that is equally... (answered by ikleyn,Edwin McCravy)
In a family with 5 children, assuming the probability of having a boy or a girl is... (answered by math-vortex)
The ratio of boys to girls at birth in a country is quite high at 1.09:1 .what proportion (answered by stanbon)
What is the probability that out of 400 babies born, 185 or fewer will be girls? Assume... (answered by ewatrrr)
What is the probability that out of 400 babies born, 205 or fewer will be girls? Assume... (answered by Boreal)
Alice and Bill are planning to have three children. (Assume that it is equally likely for (answered by Alan3354)