SOLUTION: Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given compo

Question 1098414: Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given composition: Three boys and one girl.
I think I know what the answer is, but I don't know how to get to the answer properly. Can you please show me how to work through this problem? Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the possible outcomes, there are or of them.
I will also count the number of boys in each outcome.
GGGG=0
GGGB=1
GGBG=1
GGBB=2
GBGG=1
GBGB=2
GBBG=2
GBBB=3
BGGG=1
BGGB=2
BGBG=2
BGBB=3
BBGG=2
BBGB=3
BBBG=3
BBBB=4
So out of the 16 outcomes, count the number with the given number of boys,
,
,
,
,
,
So the probability of having three boys and one girl are,

RELATED QUESTIONS
Assume the probability of a boy being born is the same as the probability of a girl being (answered by stanbon)

Assume the probability of a girl being born is the same as the probability of a boy being (answered by robertb)

In a four-child family, what is the expected number of boys?(Assume that the probability... (answered by stanbon)

Assume that the probability of a boy being born is the same as the probability of a girl... (answered by Fombitz)

#39 Assume that the probability of a boy being born is the same as the probability of a... (answered by ikleyn)

Assume that the probability of a boy being born is the same as the probability of a girl... (answered by math_helper)

Assume that the probability of a boy being born is the same as the probability of a girl... (answered by Unemployed proff,MathTherapy)

Please help me solve this problem Assume that the probability of a boy being born is... (answered by MathLover1)

Assume that the probability of a boy being born is the same as the probability of a girl... (answered by solve_for_x)

Assume the probability of a boy being born is the same as the probability of a girl being (answered by math_helper)