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Chapter 11: Problem 64
A single die is rolled. Find the odds against rolling a number less than 5 .
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A game is played using one die. If the die is rolled and shows 1 , the player wins \(\$ 5\). If the die shows any number other than 1 , the player wins nothing. If there is a charge of \(\$ 1\) to play the game, what is the game's expected value? What does this value mean?
A television programmer is arranging the order in which five movies will be seen between the hours of 6 P.M. and 4 A.M. Two of the movies have a \(G\) rating, and they are to be shown in the first two time blocks. One of the movies is rated NC-17, and it is to be shown in the last of the time blocks, from 2 A.M. until 4 A.M. Given these restrictions, in how many ways can the five movies be arranged during the indicated time blocks?
Nine cards numbered from 1 through 9 are placed into a box and two cards are selected without replacement. Find the probability that both numbers selected are odd, given that their sum is even.
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 a coconut-filled chocolate followed by a caramel-filled chocolate.
Make Sense? In Exercises 26-29, determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the Fundamental Counting Principle to determine the number of five- digit ZIP codes that are available to the U.S. Postal Service.
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