Chapter 3: 3.88 (page 106)
In Example 5e, what is the conditional probability that the ith coin was selected given that the first n trials all result in heads?
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Prove the equivalence of Equations (5.11) and (5.12).
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 children, compute the probabilities of the following events:
(a) All children are of the same sex.
(b) The eldest are boys and the others girls.
(c) Exactly are boys.
(d) The oldest are girls.
(e) There is at least girl.
In Problem 3.66a, find the conditional probability that relays and are both closed given that a current flows from to .
Three prisoners are informed by their jailer that one of them has been chosen at random to be executed and the other two are to be freed. Prisoner A asks the jailer to tell him privately which of his fellow prisoners will be set free, claiming that there would be no harm in divulging this information because he already knows that at least one of the two will go free. The jailer refuses to answer the question, pointing out that if A knew which of his fellow prisoners were to be set free, then his own probability of being executed would rise from 1 3 to 1 2 because he would then be one of two prisoners. What do you think of the jailer’s reasoning?
Two cards are randomly chosen without replacement from an ordinary deck of cards. Let be the event that both cards are aces, let be the event that the ace of spades is chosen, and let be the event that at least one ace is chosen. Find
(a)role="math" localid="1647789007426"
(b)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
