Why is a single 70% chance different to Ten 7% chances

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Like. I know they are different and that one is less likely. But could someone explain this in a way that I can explain it to my partner? I know it is true but cannot remember anything about why and how to explain my point.

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Anonymous 0 Comments

Probability doesn’t add, it multiplies. Think about it, you could take 20 7% chances and still fail, so it can’t simply add up, but the chance of all fails gets smaller into near nothingness as more tries are included. To get the probability of ten 7%s, take the odds of it not happening (0.93), multiply it by itself ten times (0.93^10). That equals 0.48, the odds of failing all after seven tries. Take the inverse (1-0.48=0.52) and you have a 52 percent chance of success from 10 7% s.

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