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PtichkaEL [24]
3 years ago
12

In a certain​ lottery, you must correctly select 44 numbers​ (in any​ order) out of 3939 to win. You purchase one lottery ticket

. What is the probability that you will​ win?
Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

The probability of choosing one correct number is 44/3939.

The prob. of choosing 2 s 44/3939 * 43/3938.

And so on...

In product notation it looks like this:

\prod_{n=0}^{43} \frac{44-n}{3939-n} \approx 2.149332 \cdot10^{-104}.

If you're wondering why i'm subtracting it's because each time you choose a number the # of choices decreases.

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