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2. In many games, rolling doubles has beneficial results. Three people are playing a board game in which two dice are rolled. Show all work in an organized manner. a) Determine the probability distribution of the number of doubles in three rolls of two dice. b) What is the expected number of doubles in the three rolls?

          2. In many games, rolling doubles has beneficial results. Three people are playing a board game in which two dice are rolled. Show all work in an organized manner.
a) Determine the probability distribution of the number of doubles in three rolls of two dice.
b) What is the expected number of doubles in the three rolls?
        
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2. In many games, rolling doubles has beneficial results. Three people are playing a board game in which two dice are rolled. Show all work in an organized manner.
a) Determine the probability distribution of the number of doubles in three rolls of two dice.
b) What is the expected number of doubles in the three rolls?

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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rolled. Show all work in an organized manner. a) Determine the probability distribution of the number of doubles in three rolls of two dice. b) What is the expected number of doubles in the three rolls?
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Transcript

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00:01 For this exercise, we are told that we are rolling two dice and we're asked to find the probability of rolling an even number or doubles.
00:11 So let's just define that as an event a.
00:25 Now here we can use the classic approach to probability, which says that the probability of an event, in this case event a, is equal to the number of outcomes which result in event a divided by the total possible number of outcomes in the sample score.
00:43 Here we have the 36 possible outcomes that constitute the sample space when rolling two dice.
00:52 Each of these outcomes is equally probable.
00:56 So we can say that the probability of event a is equal to the number of outcomes that result in event a divided by the total possible number of outcomes in the sample space...
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