eli5 the probability of least one event occurring in statistics

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i just can’t understand this i know the eq is P(at least one)= 1-P(all occur) but every time i do the problems i get them wrong ??? like for some reason the equation changes my teacher has tried to explain it but i just don’t get it

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Anonymous 0 Comments

Let’s boil it down to very simple terms. Let’s say there’s two girls you want to ask out, Amy and Beth. You think there’s a 40% chance Amy will say yes, and a 30% chance Beth will say yes. Maybe both say yes, maybe both say no. You can go out with both of them, if they both happen to say yes. What’s the probability you’ll have a date this weekend?

To get the answer, you have to figure out the probability of them both saying no. There’s a 60% chance Amy says no, and a 70% chance Beth says no. 60% x 70% = 42% chance of two no’s.

So since there’s a 42% chance of no dates, that means the chance of at least one date is just 100 minus that, or 58%.

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