1. In a series of seven games, the ?rst team to win four games wins the series. If the teams are evenly matched, what is the probability that the team that wins the ?rst game will win the series?
2. In a survey, 1000 adults were asked if they would approve an increase in tax if the revenues went to build a football stadium. It was also noted whether the person lived in a city (C), suburb (S), or rural area (R), of the county. The results are summarized in Table 2.2.2. De?ne the following events:
A: person chosen is from the city
B: person disapproves tax increase Find the following probabilities;
(i) P(B), (ii) P(Ac ∩ B), and (iii) P(A ∪ Bc
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Tab
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le
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Yes (for tax increase)
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No (against tax increase)
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C
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150
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250
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S
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250
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150
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R
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50
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150
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