Probability works not by compensating for imbalances but by overwhelming them. S

Question

Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and the tosses after that give exactly half heads and half tails. What is the proportion of heads after the first 10 tosses? 1 0 0.5 Fill in the blank: If half of the last 90 tosses produce heads, the proportion of heads after 100 tosses is _____. (Give your answer to two decimal places.) If half of the last 990 tosses produce heads, the proportion of heads after 1000 tosses is _____. (Give your answer to two decimal places.)

Explanation / Answer

ans=

The proportion of heads after the first 10 tosses is 0. After the first 100 tosses,

45/100=0.45

the proportion of heads is 0.45. After 1000 tosses the proportion of heads is 0.495. After 10,000 tosses the proportion is 0.4995

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