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Chapter 11: Problem 67
I used the Fundamental Counting Principle to determine the number of permutations of the letters of the word SUCCESS.
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The probability that a region prone to flooding will flood in any single year is \(\frac{1}{10}\). a. What is the probability of a flood two years in a row? b. What is the probability of flooding in three consecutive years? c. What is the probability of no flooding for ten consecutive years? d. What is the probability of flooding at least once in the next ten years?
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.
Shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. In how many ways can the shoppers be categorized?
We return to our box of chocolates. There are 30 chocolates in the box, all identically shaped. Five are filled with coconut, 10 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting two caramel-filled chocolates in a row.
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. If the probability of being hospitalized during a year is \(0.1\), find the probability that no one in a family of five will be hospitalized in a year.
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