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Chapter 11: Problem 65
I used the Fundamental Counting Principle to determine the number of permutations of the letters of the word ENGLISH.
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You need to arrange nine of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
The tables in Exercises 3-4 show claims and their probabilities for an insurance company. a. Calculate the expected value and describe what this means in practical terms. b. How much should the company charge as an average premium so that it breaks even on its claim costs? c. How much should the company charge to make a profit of \(\$ 50\) per policy? PROBABILITIES FOR MEDICAL INSURANCE CLAIMS $$ \begin{array}{|c|c|} \hline \begin{array}{c} \text { Amount of Claim (to the } \\ \text { nearest } \mathbf{\$ 2 0 , 0 0 0 )} \end{array} & \text { Probability } \\ \hline \$ 0 & 0.70 \\ \hline \$ 20,000 & 0.20 \\ \hline \$ 40,000 & 0.06 \\ \hline \$ 60,000 & 0.02 \\ \hline \$ 80,000 & 0.01 \\ \hline \$ 100,000 & 0.01 \\ \hline \end{array} $$
In Exercises 43-48, 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 apple juice.
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. I found the probability of getting rain at least once in ten days by calculating the probability that none of the days have rain and subtracting this probability from \(1 .\)
There are three highways from city \(A\) to city \(B\), two highways from city \(B\) to city \(C\), and four highways from city \(C\) to city \(D\). How many different highway routes are there from city A to city D?
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