Answer:
probability=number of favorable outcome÷total number of favorable outcome
Step-by-step explanation:
A the probability that all children are boys =3÷3 =1
same answer with the girl children
Answer:
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
Step-by-step 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.
