6. Someone plans to travel at the weekend. According to the weather forecast, the probability of raining on the first and the second day of weekends is 0.5 and 0.3 respectively, the probability of raining on both days is 0.2. Try to find: (Let A; be event of raining on the ith day, i = 1,2, then P (A₁) = 0.5, P (A2) = 0.3, P (A1 A2) = 0.2.) (1) The probability of raining on the first day but not on the second day; (2) The probability of raining on one of the two days; (3) The probability of raining at least on one day.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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6. Someone plans to travel at the weekend. According to the weather forecast, the probability of
raining on the first and the second day of weekends is 0.5 and 0.3 respectively, the probability of
raining on both days is 0.2. Try to find:
(Let Ai be event of raining on the ith day, i = 1,2, then P (A₁) = 0.5, P (A2) = 0.3, P (A1 A2) = 0.2.)
(1) The probability of raining on the first day but not on the second day;
(2) The probability of raining on one of the two days;
(3) The probability of raining at least on one day.
Transcribed Image Text:6. Someone plans to travel at the weekend. According to the weather forecast, the probability of raining on the first and the second day of weekends is 0.5 and 0.3 respectively, the probability of raining on both days is 0.2. Try to find: (Let Ai be event of raining on the ith day, i = 1,2, then P (A₁) = 0.5, P (A2) = 0.3, P (A1 A2) = 0.2.) (1) The probability of raining on the first day but not on the second day; (2) The probability of raining on one of the two days; (3) The probability of raining at least on one day.
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