Tom is planning to join three events in the upcoming athletic meet. He is pretty good in two of the events having a probability Of 0.6 and 0.8, respectively, of winning the events. Unfortunately, he is not so good with the third event having only a 0.3 chance of winning the event. Assuming his performances in the said events are independent, what is the probability that he would win exactly two of the three events?

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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Tom is planning to join three events in the upcoming athletic meet.
He is pretty good in two of the events having a probability Of 0.6
and 0.8, respectively, of winning the events. Unfortunately, he is
not so good with the third event having only a 0.3 chance of
winning the event. Assuming his performances in the said events
are independent, what is the probability that he would win exactly
two of the three events?
Transcribed Image Text:Tom is planning to join three events in the upcoming athletic meet. He is pretty good in two of the events having a probability Of 0.6 and 0.8, respectively, of winning the events. Unfortunately, he is not so good with the third event having only a 0.3 chance of winning the event. Assuming his performances in the said events are independent, what is the probability that he would win exactly two of the three events?
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