Hana, Damien, and Erisa are flipping a coin in succession (in this order). The first one to flip tails wins the game. (a) Write down a sample space for the game and describe it in your own words. (b) Specify the outcomes in each of the events H = {Hana wins}, D = {Damien wins}, E = {Erisa wins}. (c) Specify the outcomes in the events H ∪ D, (H ∩ E) C , and (H ∪ E ∪ D) C , and describe what they represent in words.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Hana, Damien, and Erisa are flipping a coin in succession (in this order). The first one to flip
tails wins the game.
(a) Write down a sample space for the game and describe it in your own words.
(b) Specify the outcomes in each of the events H = {Hana wins}, D = {Damien wins},
E = {Erisa wins}.
(c) Specify the outcomes in the events H ∪ D, (H ∩ E)
C , and (H ∪ E ∪ D)
C , and describe
what they represent in words. 

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