An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space?  b. Let A be the event that either a 1, 2, 3, or 4 is rolled first, followed by landing a tail on the coin toss. P(A) =  Present your answer as a decimal rounded to four decimal places. c. Let B be the event that an even number is rolled, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 experiment consists of first rolling a die and then tossing a coin:

a. How many elements are there in the sample space

b. Let A be the event that either a 1, 2, 3, or 4 is rolled first, followed by landing a tail on the coin toss.
P(A) =  Present your answer as a decimal rounded to four decimal places.

c. Let B be the event that an even number is rolled, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive?

 

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