A lottery ticket says that the chances of winning are 1 in 6. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner.

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Cedric Simon · Answer 1 · 2023-03-05T23:38:36+0000

Step by step solution

Lets first find the probability of winning and not winning:

The probability of winning is 1/6.

So the probability of not winning is 5/6.

If you buy 10 of those lottery tickets the probability that at least one of them will be a winner is:

$\begin{gathered} P=1-((5)/(6))^(10) \\ P=0.838494 \end{gathered}$

Because it 1 minus the probability of not winning in any of the opportunities.