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Chapter 3: Q.3.3 (page 97)
Use Equation to compute in a hand of bridge the conditional probability that East has spades given that North and South have a combined total of spades.
The conditional probability is
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In a class, there are 4 first-year boys, 6 first-year girls, and 6 sophomore boys. How many sophomore girls must be present if sex and class are to be independent when a student is selected at random?
Suppose we have 10 coins such that if the ith coin is flipped, heads will appear with probability i/10, i = 1, 2, ..., 10. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin
Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on different numbers?
In Example , suppose that the new evidence is subject to different possible interpretations and in fact shows only that it is percent likely that the criminal possesses the characteristic in question. In this case, how likely would it be that the suspect is guilty (assuming, as before, that he has the characteristic)?
There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?
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