Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one day, then the probability of being happy in the next day is 0.8, while the probability of being sad is 0.2; if he is sad in one day, the probability of being sad is 0.6 and being happy at 0.4. (a) If he is happy today. What is the probability that he is happy tomorrow? (b) If he is happy today. What is the probability that he is happy the day after tomorrow?

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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Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one
day, then the probability of being happy in the next day is 0.8, while the probability of being
sad is 0.2; if he is sad in one day, the probability of being sad is 0.6 and being happy at 0.4.
(a) If he is happy today. What is the probability that he is happy tomorrow?
(b) If he is happy today. What is the probability that he is happy the day after tomorrow?
(c) If he is happy today. Given that he is happy the day after tomorrow, what is the probability
that he is happy tomorrow?
Transcribed Image Text:Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one day, then the probability of being happy in the next day is 0.8, while the probability of being sad is 0.2; if he is sad in one day, the probability of being sad is 0.6 and being happy at 0.4. (a) If he is happy today. What is the probability that he is happy tomorrow? (b) If he is happy today. What is the probability that he is happy the day after tomorrow? (c) If he is happy today. Given that he is happy the day after tomorrow, what is the probability that he is happy tomorrow?
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