SOLUTION: In a random selected family of three biologically theirs, normally conceived children, find the probability that this family has: A.) all children of the same gender B.) Only tw

Question 1144390: In a random selected family of three biologically theirs, normally conceived children, find the probability that this family has:
A.) all children of the same gender
B.) Only two children of the same gender
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

Assuming that the probability to have in a family a boy (B) or a girl (G) is

(A)  The probability that all 3 children are of the same gender =     


         = The probability of   =   to have 3 girls 

     PLUS

           the probability of   =   to have 3 boys =


     =  +  =  = .    ANSWER




(B)  P = P(BBG) + P(BGB) + P(GBB) + P(GGB) + P(GBG) + P(GGB) =  = .     ANSWER



Notice that the probability of the n.B  is the complement to the probability of the n.A, as it should be.


It is an additional argument/check that the solution is correct.

Solved.

RELATED QUESTIONS
Find the indicated probability. The table shows the distribution of family size in a... (answered by KMST)

Suppose that a family has five children, consisting of three girls and two boys. Call the (answered by ewatrrr)

A family has six children (no twins). What is the probability that this family has three... (answered by Edwin McCravy)

51% of the families in the us had not children under the age of 18; 20% had one child;... (answered by solver91311)

Let the random variable x represent the number of girls in a family with three children.... (answered by robertb)

One genetic disease was tested positive in both parents of one family. It has been known... (answered by solver91311)

Suppose that a family has five children, consisting of three girls and two boys. Call the (answered by ewatrrr,Theo)

A researcher found that 55% of families in the United States have one child under the age (answered by Boreal)

A researcher found that 55% of families in the United States have one child under the age (answered by Theo)