A bookbook can be classified as either non dash fictionnon-fiction or fictionfiction. Suppose that 9494% of booksbooks are classified as fictionfiction. (a) Two booksbooks are chosen at random. What is the probability that both booksbooks are fictionfiction? (b) FiveFive booksbooks are chosen at random. What is the probability that all fivefive booksbooks are fictionfiction? (c) What is the probability that at least one of fivefive randomly selected booksbooks is non dash fictionnon-fiction? Would it be unusual that at least one of fivefive randomly selected booksbooks is non dash fictionnon-fiction?

a) 0.8836

b) 0.7339

c) 0.2342

Step-by-step explanation:

Books classified as fiction = 94% or 0.94 probability

Books classified as non-fiction = 1 - 0.94 = 0.06

a) for two books, we get: 0.94 * 0.94 = 0.8836 Probability

b) The probability that all five books are fiction is: 0.94^5

    This equals 0.7339 Probability

c) Probability that one books is non-fiction, while the other 4 are fiction is determined in the following way:

 Probability of non-fiction * probability of fiction^(number of books)

 0.06 * 0.94^4 = 0.0468

 This does not account for the order at which the non-fiction book shows up. Such as the non-fiction book being the first book picked, or in another case - the non-fiction book being the last picked.

Since there are 5 ways this could occur, the total probability will be calculated as shown: 0.0468 * 5 = 0.2342 Probability

∠cbe and ∠deb are same-side interior angles.

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