SOLUTION: if a couple plans to have 6 children, what is the probability that they will have at least one girl?

Algebra.Com
Question 316450: if a couple plans to have 6 children, what is the probability that they will have at least one girl?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's look at it the other way.
What is the probability that they will have all boys?
P(B,B,B,B,B,B)=(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)=1/64
P(all boys)+P(not all boys)=1
P(not all boys)=1-P(all boys)
P(at least 1 girl)=1-1/64=63/64.

RELATED QUESTIONS

If a couple plans to have 9 children, what is the probability one will be at least one... (answered by ewatrrr)
A couple plans to have 6 children. Assuming that boys and girls are equally likely, what... (answered by ikleyn)
A couple decided to have 5 children. (a) What is the probability that they will have... (answered by josmiceli)
A couple plans to have three children. What is the probability of getting at least one... (answered by venugopalramana)
4. A couple plans to have two children. Assume that on any given birth, having a boy and... (answered by stanbon)
A couple decided to have 4 children. What is the probability that they will have at... (answered by Theo)
If a couple plans to have eight children, find the probability that they are all of the... (answered by stanbon)
If a couple has three children, what is the probability that they have at least one... (answered by Theo)
. A couple plans to have two children. Assume that on any given birth, having a boy and... (answered by stanbon)