Problem 3. Suppose that a fair coin is tossed repeatedly until a head is obtained for the first time. (A) What is the expected number of tosses that will be required? (B) What is the expected number of tails that will be obtained before the first head is obtained?

Problem 3. Suppose that a fair coin is tossed repeatedly until a head is obtained for the first time. (A) What is the expected number of tosses that will be required? (B) What is the expected number of tails that will be obtained before the first head is obtained?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

Problem 3. Suppose that a fair coin is tossed repeatedly until a head is obtained for the first time.
(A) What is the expected number of tosses that will be required?
(B) What is the expected number of tails that will be obtained before the first head is obtained?

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