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Chapter 2: Q 2.41. (page 51)
If a die is rolled 4 times, what is the probability that 6 comes up at least once?
The probability that 6 comes up at least once is 0.52.
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A small community organization consists of families, which have one child, have two children, have three children, have four children, and have five children.
If one of these families is chosen at random, what is the probability it has children,
If one of the children is randomly chosen, what is the probability that the child comes from a family having children,
Show that if for all, then.
Let denote the number of ways of tossing a coin n times such that successive heads never appear. Argue that, where.
Hint: How many outcomes are there that start with ahead, and how many start with a tail? If denotes the probability that successive heads never appear when a coin is tossed n times, find (in terms of ) when all possible outcomes of the tosses are assumed equally likely. Compute
An urn contains white and black balls. If a random sample of size is chosen, what is the probability that it contains exactly white balls?
A closet contains pairs of shoes. If shoes are randomly selected, what is the probability that there will be
(a) no complete pair?
(b) exactlycomplete pair?
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