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Chapter 5: Q T5.1. (page 336)

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 close to1/2

(d) The chance that the100th toss will be a head depends somewhat on the results of the first 99 tosses.

(e) All of the above statements are true.

Short Answer

Expert verified

The correct option is (c) .

Step by step solution

01

Step 1. Given

10,000 times a coin has been tossed. The coin is in good condition.

02

Step 2. Concept

The probability of an event=numberoffavourableoutcomestotalnumberofoutcomes

03

Step 3. Calculation

The coin is in good condition. As a result, both heads and tails have an equal chance of occurring. As a result, half of the heads and tails should be expected. There would be 5000 heads and 5000 tails in all. The chance of receiving a head is: P(Head)=500010000=12

As a result, the fraction of people that obtain heads is 12

As a result, the best solution is (e).

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