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(b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an equal chance of winning. The winner will be the first to win ten rounds. After 16 rounds Alice has won 9 and Bob has won 7. (i) Explain why the game will be decided in at most three more rounds. (ii) Draw a tree diagram showing the possible outcomes of the next three rounds of the game. (iii) Find the respective probabilities that Alice and Bob win the game.

(b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an equal chance of winning. The winner will be the first to win ten rounds. After 16 rounds Alice has won 9 and Bob has won 7. (i) Explain why the game will be decided in at most three more rounds. (ii) Draw a tree diagram showing the possible outcomes of the next three rounds of the game. (iii) Find the respective probabilities that Alice and Bob win the game.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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(b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an equal chance of winning. The winner will be the first to win ten rounds. After 16 rounds Alice has won 9 and Bob has won 7. (1) Explain why the game will be decided in at most three more rounds. (ii) Draw a tree diagram showing the possible outcomes of the next three rounds of the game. (iii) Find the respective probabilities that Alice and Bob win the game.
Transcribed Image Text:(b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an equal chance of winning. The winner will be the first to win ten rounds. After 16 rounds Alice has won 9 and Bob has won 7. (1) Explain why the game will be decided in at most three more rounds. (ii) Draw a tree diagram showing the possible outcomes of the next three rounds of the game. (iii) Find the respective probabilities that Alice and Bob win the game.
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