Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how the first 10 outcomes are swamped by later outcomes.) (Use decimal notation. Give your answers as exact numbers.) What is the proportion of heads after the first 10 tosses? proportion: What is the proportion of heads after 100 tosses if half of the last 90 produce heads (45 heads)? proportion: What is the proportion of heads after 1000 tosses if half of the last 990 produce heads?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give
10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how
the first 10 outcomes are swamped by later outcomes.)
(Use decimal notation. Give your answers as exact numbers.)
What is the proportion of heads after the first 10 tosses?
proportion:
What is the proportion of heads after 100 tosses if half of the last 90 produce heads (45 heads)?
proportion:
What is the proportion of heads after 1000 tosses if half of the last 990 produce heads?
M
31
llo
up
D O
Nov 14 12:43 3 D
Transcribed Image Text:Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how the first 10 outcomes are swamped by later outcomes.) (Use decimal notation. Give your answers as exact numbers.) What is the proportion of heads after the first 10 tosses? proportion: What is the proportion of heads after 100 tosses if half of the last 90 produce heads (45 heads)? proportion: What is the proportion of heads after 1000 tosses if half of the last 990 produce heads? M 31 llo up D O Nov 14 12:43 3 D
proportion:
What is the proportion of heads after 1000 tosses if half of the last 990 produce heads?
proportion:
What is the proportion of heads after 10,000 tosses if half of the last 9990 produce heads?
proportion:
M
31
110
G
Nov 14
Transcribed Image Text:proportion: What is the proportion of heads after 1000 tosses if half of the last 990 produce heads? proportion: What is the proportion of heads after 10,000 tosses if half of the last 9990 produce heads? proportion: M 31 110 G Nov 14
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