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# Not understanding when events are independent

In Naked Statistics, Charles Wheelan explains: “A different kind of mistake occurs when events that are independent are not treated as such . . . If you flip a fair coin 1,000,000 times and get 1,000,000 heads in a row, the probability of getting heads on the next flip is still 1/2. The very definition of statistical independence between two events is that the outcome of one has no effect on the outcome of another.

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MORE IDEAS ON THIS

### Assuming events are independent when they are not

When two event are interconnected, the former happening increases or decreases the probability of the latter happening.

• Your car insurance gets more expensive after an accident because car accidents are not independent events. A person who gets in one is more li...

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### When improbable events happen

While particular improbable events are improbable, the chance of any improbable event happening at all is highly probable.

• Your chances of getting struck by lightning are almost zero. But with so many people walking around and so many storms, it has to happen to som...

109

### Understanding probability

Most of us fall prey to the same handful of issues because aspects of probability go against what we think is intuitive.

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Life is not about waiting for the storms to pass. It`s about learning how to dance in the rain.

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## More like this

### Assuming events are independent when they are not

When two event are interconnected, the former happening increases or decreases the probability of the latter happening.

• Your car insurance gets more expensive after an accident because car accidents are not independent events. A person who gets in one is more li...

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