There are 50 tickets in the lottery, 5 of which are winning. bought 3 tickets what is the probability of winning?

univerkov | July 31, 2021 | education

Let’s find the probability of losing:

P pr. = C (from 45 to 3) * C (from 5 to 0): C (from 50 to 3) = (45! / (42! * 3!)) * (5! / (5! * 0 !)): (50! / (47! * 3!)) = 4257/5880.

Then the probability of winning is:

P = 1 – 4257/5880 = 1623/5880 ≈ 0.276.

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