I was solving some probability and combination problems and I came across this one, that I couldn't solve. Any tips appreciated.
Chance to win with one lottery ticket is $\frac13$. How many tickets must be purchased for the probability of winning at least with one ticket to be greater than $0.9$?
Chance to win: $\frac13$
Number of tickets that have to win: $1$
Probability of that happening: $> 0.9$
Need to find number of tickets to buy