The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received two calls. n USE SALT (a) What is the probability that all two calls are, in fact, emergencies? (Round your answer to three decimal places.) (b) What is the probability that one or more calls are not emergencies? (Round your answer to three decimal places.) (c) What is the smallest number of calls n that the 911 operators need to answer to be at least 96% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.) calls

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.