Question

PLS HELP!! ITS PROBABILITY!!!

A) if a family has three children, what is the probability that all three children are girls? all three children are boys?

B) what is the probability of having 2 girls and one boy?

C) what is the probability of having 2 boys and one girl?

D) josh has a younger brother. what is the probability that a third child will be another boy? explain.

Answer 1

A) 1/8 or 0.125 for three girls and three boys

B) 3/8 or 0.375 for two girls and one boy

C) 3/8 or 0.375 for two boys and one girl

D) 1/2 or 0.50, explanation provided below

Explanation:

Part A) If a family has three children, the probability that all three children are girls can be found by first finding the probability of one child being a girl. The probability of being a girl in this case is 1/2. The probability of three girls is thus (1/2) * (1/2) * (1/2) = 1/8 or 0.125. The probability of one child being a boy is 1/2, and so rather than repeating the above steps, we can simply say that it is also 1/8 or 0.125.

Part B) For this part, it is probably easiest to list the combinations:

BBB

BBG

BGB

BGG

GBB

GBG

GGB

GGG

There are three outcomes with two girls and one boy and thus the probability is 3/8.

Part C) Looking at the combinations above, we also see that there are three outcomes with two boys and one girl, and thus the probability is 3/8.

Part D) The fact that Josh has a younger brother does not affect the probability that the third child will be a girl or boy. The probability of the third child being a boy is still 1/2.

Answer 2

probability=number of favorable outcome÷total number of favorable outcome

Explanation:

A the probability that all children are boys =3÷3 =1

same answer with the girl children