Chapter 15: Probability and Statistics
Q5P
Given a family of two children (assume boys and girls equally likely, that is, probability for each), what is the probability 1/2 that both are boys? That at least one is a girl? Given that at least one is a girl, what is the probability that both are girls? Given that the first two are girls, what is the probability that an expected third child will be a boy?
Q6P
A card is selected from a shuffled deck. What is the probability that it is either a king or a club? That it is both a king and a club?
Q7P
A letter is selected at random from the alphabet. What is the probability that it is one of the letters in the word 鈥減robability?鈥 What is the probability that it occurs in the first half of the alphabet? What is the probability that it is a letter after x?
Q9P
You are trying to find instrument A in a laboratory. Unfortunately, someone has put both instruments A and another kind (which we shall call B) away in identical unmarked boxes mixed at random on a shelf. You know that the laboratory has 3 A鈥檚 and 7 B鈥檚. If you take down one box, what is the probability that you get an A? If it is a B and you put it on the table and take down another box, what is the probability that you get an A this time?