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3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5 and the rest is the probability of a Tie. If 30 games are played, what is the probability that all games end in a Tie?

3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5 and the rest is the probability of a Tie. If 30 games are played, what is the probability that all games end in a Tie?

A First Course in Probability (10th Edition)
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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3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5 and the rest is the probability of a Tie. If 30 games are played, what is the probability that all games end in a Tie? 4. A baseball player is said to “hit for the cycle" if he has a single, a double, a triple, and a home run all in one game. Suppose these four types of hits have probabilities 1/16, 1/4, 1/5, and 1/24. What is the probability of hitting for the cycle if he gets to bat (a) eight times and (b) four times?
Transcribed Image Text:3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5 and the rest is the probability of a Tie. If 30 games are played, what is the probability that all games end in a Tie? 4. A baseball player is said to “hit for the cycle" if he has a single, a double, a triple, and a home run all in one game. Suppose these four types of hits have probabilities 1/16, 1/4, 1/5, and 1/24. What is the probability of hitting for the cycle if he gets to bat (a) eight times and (b) four times?
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