SOLUTION: In a family with two children, find the probability of both being boys

Question 535674: In a family with two children, find the probability of both being boys

Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
With the given information, the P(boy) for any child is 1/2. Extra info could have been given to show that the P(boy) or P(girl) would be more or less than 50%. But absent info we have to assume 50% for each.

These events are independent. In other words, having a boy the first time doesn't change the probability of a boy the second time. P(A AND B) = P(A)*P(B).

P(BOY and BOY) = 1/2 * 1/2 = 1/4 = 25%

Check my profile and contact me for one on one online tutoring. I can help you understand this with one on one online tutoring. It's one thing to follow an example, but even better if you understand the concept.

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

What is the probability of a family with six children having four boys and two... (answered by robertb)

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

in a family of two children,find the probability that the family has two boys given that... (answered by stanbon)

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

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

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

Assume each newborn baby has a probability of approximately .54 of being a female and .46 (answered by Fombitz)

what is the probability that a family with four children, whose first child is a boy,... (answered by javeria13)