Suppose that each child born to a couple is equally likely to be a boy or a girl, independently of the sex distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same sex. (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl.
Added by Francisca B.
Step 1
This can happen in two ways: either all children are boys or all children are girls. The probability of each of these events is (1/2)^5 = 1/32. So, the total probability is 2*(1/32) = 1/16. Show more…
Show all steps
Your feedback will help us improve your experience
Steven Clarke and 86 other Probability 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.
Recommended Videos
Gender of a Children: A couple has 4 children . Find each probability A. exactly two girls and two boys B. At least one child who is a girl C. At least one child of each Gender.
Adi S.
Gender of Children A couple has 4 children. Find each probability. a. All girls b. Exactly two girls and two boys c. At least one child who is a girl d. At least one child of each gender
Probability and Counting Rules
Sample Spaces and Probability
Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1$/ 2 .$ Find the probabilities that the family has the following children. Exactly 2 girls and 3 boys
Counting Principles; Further Probability Topics
Binomial Probability
Recommended Textbooks
Probability with Applications in Engineering, Science, and Technology
Probability and Statistics for Engineers and Scientists
Applied Statistics and Probability for Engineers
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD