What is the conditional probability that a family with two children has two boys, given they have at least one boy? Assume that each of the possibilities BB, BG, GB, and GG is equally likely, where B represents a boy and G represents a girl (Note that BG represents a family with an older boy and a younger girl while GB represents a family with an older girl and a younger boy).
Added by Thomas F.
Close
Step 1
This means that the possibilities GG (two girls) is ruled out. So, we are left with three possibilities: BB, BG, and GB. The question asks for the probability that the family has two boys (BB), given that they have at least one boy. Out of the three remaining Show more…
Show all steps
Your feedback will help us improve your experience
Steven Clarke and 64 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
What is the conditional probability that a family with two children has two boys, given they have at least one boy? Assume that each of the possibilities BB, BG, GB, and GG is equally likely, where B represents a boy and G represents a girl.
Ahmet Y.
Assume that each child who is born is equally likely to be a boy or a girl. If a family has two children, what is the probability that both are girls given that (a) the eldest is a girl, (b) at least one is a girl?
Kari H.
In a family of seven children, what is the probability of obtaining the following numbers of boys and girls? a. All boys b. All children of the same sex c. Six girls and one boy d. Four boys and three girls e. Four girls and three boys
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD