SOLUTION: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl? a. 1/2 b. 1/3 c. 1/8 d. 1/9

Algebra ->  Probability-and-statistics -> SOLUTION: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl? a. 1/2 b. 1/3 c. 1/8 d. 1/9      Log On


   

Question 1160565: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl?
a. 1/2
b. 1/3
c. 1/8
d. 1/9
Found 3 solutions by MathLover1, MathTherapy, saw:
Answer by MathLover1(20850) About Me  (Show Source):
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We have 3 children, with each one possibly being a boy or a girl.
And so for each child, the probability of being a boy is 1%2F2+as is the probability of being a girl 1%2F2
Therefore, for there to be all boys, the probability is:
P%28all_+boys%29=%281%2F2%29%281%2F2%29+%281%2F2%29=1%2F8

answer is: c. 1%2F8

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl?
a. 1/2
b. 1/3
c. 1/8
d. 1/9
highlight_green%28%281%2F2%29%5E3%29

Answer by saw(34) About Me  (Show Source):
You can put this solution on YOUR website!
Solution.
BBB
BBG
BGB
BGG
GGG
GGB
GBG
GBB
P = successful outcomes/total outcomes
P = 1/8