An outdoor basketball tournament consists of 3 days, from 7 April to 9 April. The weather of each day in April is classified as either sunny or rainy. The probability that 1 April is rainy is 0.5. The probability that a sunny day follows a sunny day is 0.75. The probability that a sunny day follows a rainy day is 0.25. Find the probability that 3 days is sunny in the tournament period.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An outdoor basketball tournament consists of 3 days, from 7 April to 9 April. The weather of each day in April is classified as either sunny or rainy. The probability that 1 April is rainy is 0.5. The probability that a sunny day follows a sunny day is 0.75. The probability that a sunny day follows a rainy day is 0.25. Find the probability that 3 days is sunny in the tournament period.
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