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Section I: Multiple Choice Select the best answer for each question. Dr. Stats plans to
Chapter 5, Problem T5.1(choose chapter or problem)
Section I: Multiple Choice Select the best answer for each question. Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true? (a) It is unlikely that Dr. Stats will get more than 5000 heads. (b) Whenever Dr. Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head. (c) The fraction of tosses resulting in heads should be exactly 1/2. (d) The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses. (e) It is likely that Dr. Stats will get about 50% heads.
Questions & Answers
QUESTION:
Section I: Multiple Choice Select the best answer for each question. Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true? (a) It is unlikely that Dr. Stats will get more than 5000 heads. (b) Whenever Dr. Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head. (c) The fraction of tosses resulting in heads should be exactly 1/2. (d) The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses. (e) It is likely that Dr. Stats will get about 50% heads.
ANSWER:Step 1 of 2
Given: Fair coin is tossed 10,000 times
Since the coin is fair, heads and tails are equally likely to occur and thus we expect about half the tosses to result in heads.
We thus expect about 5000 of the 10,000 tosses to result in heads and thus we expect the fraction of tosses resulting in heads to be close to
