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:
[tex]\begin{gathered} P=1-(\frac{5}{6})^{10} \\ P=0.838494 \end{gathered}[/tex]Because it 1 minus the probability of not winning in any of the opportunities.