Suppose there is a game in which you throw a die first and then you toss a coin. However, you will toss a coin once if the die shows an even number. Conversely, you will toss a coin thrice if the die shows an odd number. Use the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HHH to denote the outcome that the die comes up 3 followed by 3 heads in succession, construct a tree diagram of the sample space.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
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Suppose there is a game in which you throw a die first and then you toss a coin. However, you will toss a coin once if the die shows an even number. Conversely, you will toss a coin thrice if the die shows an odd number. Use the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HHH to denote the outcome that the die comes up 3 followed by 3 heads in succession, construct a tree diagram of the sample space.

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