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(a) List the sixteen elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the four tosses. Write each of the following events as a set and find its probability. (b) The event that exactly one toss results in a tail. (c) The event that exactly two tosses result in a tail.

(a) List the sixteen elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the four tosses. Write each of the following events as a set and find its probability. (b) The event that exactly one toss results in a tail. (c) The event that exactly two tosses result in a tail.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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4. Suppose that a coin is tossed four times and the side showing face up on each toss is noted. Suppose also that on each toss heads and tails are equally likely. Let HTHH indicate the outcome of heads on the first toss, tails on the second toss, and heads on the third and fourth toss. (a) List the sixteen elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the four tosses. Write each of the following events as a set and find its probability. (b) The event that exactly one toss results in a tail. (c) The event that exactly two tosses result in a tail. (d) The event that none of the tosses are tails. (e) The event that at least one toss is a tail.
Transcribed Image Text:4. Suppose that a coin is tossed four times and the side showing face up on each toss is noted. Suppose also that on each toss heads and tails are equally likely. Let HTHH indicate the outcome of heads on the first toss, tails on the second toss, and heads on the third and fourth toss. (a) List the sixteen elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the four tosses. Write each of the following events as a set and find its probability. (b) The event that exactly one toss results in a tail. (c) The event that exactly two tosses result in a tail. (d) The event that none of the tosses are tails. (e) The event that at least one toss is a tail.
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