Another example in which the emphasis is not on priors. You visit a family whose three children are all at the local school. You don't know anything about the sexes of the children. While walking clum- sily round the home, you stumble through one of the three unlabelled bedroom doors that you know belong, one each, to the three children, and find that the bedroom contains girlie stuff in sufficient quantities to convince you that the child who lives in that bedroom is a girl. Later, you sneak a look at a letter addressed to the parents, which reads 'From the Headmaster: we are sending this letter to all parents who have male children at the school to inform them about the following boyish mat- ters...'. These two sources of evidence establish that at least one of the three children is a girl, and that at least one of the children is a boy. What are the probabilities that there are (a) two girls and one boy; (b) two boys and one girl?
Another example in which the emphasis is not on priors. You visit a family whose three children are all at the local school. You don't know anything about the sexes of the children. While walking clum- sily round the home, you stumble through one of the three unlabelled bedroom doors that you know belong, one each, to the three children, and find that the bedroom contains girlie stuff in sufficient quantities to convince you that the child who lives in that bedroom is a girl. Later, you sneak a look at a letter addressed to the parents, which reads 'From the Headmaster: we are sending this letter to all parents who have male children at the school to inform them about the following boyish mat- ters...'. These two sources of evidence establish that at least one of the three children is a girl, and that at least one of the children is a boy. What are the probabilities that there are (a) two girls and one boy; (b) two boys and one girl?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Transcribed Image Text:Another example in which the emphasis is not on priors. You
visit a family whose three children are all at the local school. You don't
know anything about the sexes of the children. While walking clum-
sily round the home, you stumble through one of the three unlabelled
bedroom doors that you know belong, one each, to the three children,
and find that the bedroom contains girlie stuff in sufficient quantities to
convince you that the child who lives in that bedroom is a girl. Later,
you sneak a look at a letter addressed to the parents, which reads 'From
the Headmaster: we are sending this letter to all parents who have male
children at the school to inform them about the following boyish mat-
ters...'.
These two sources of evidence establish that at least one of the three
children is a girl, and that at least one of the children is a boy. What
are the probabilities that there are (a) two girls and one boy; (b) two
boys and one girl?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 5 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON