Every years two teams, Unggul and Bestari meets each other in a debate competition. Past results show that in years when Unggul win, the probability of them winning the next year is 0.6 and in years when Bestari win, the probability of them winning the next year is 0.5. it is not possible for the competition to result in a tie. Unggul won the competition in 2011. a. Construct a probability tree diagram for the three years up to 2014. b. Find the probability that Bestari will win in 2014. c. If Bestari wins in 2014, find the probability that it will be their first win for at least three years.

Every years two teams, Unggul and Bestari meets each other in a debate competition. Past results show that in years when Unggul win, the probability of them winning the next year is 0.6 and in years when Bestari win, the probability of them winning the next year is 0.5. it is not possible for the competition to result in a tie. Unggul won the competition in 2011. a. Construct a probability tree diagram for the three years up to 2014. b. Find the probability that Bestari will win in 2014. c. If Bestari wins in 2014, find the probability that it will be their first win for at least three years.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...

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