Question 1124879
.35 probability will be used
0 successes: .65^3=0.2746
1 success=3*.35*.65^2=0.4436
2 successes=3*.35^2*.65=0.2389
3 successes=.35^3=0.0429

Therefore, at least 1 success and at least 1 failure are the two middle ones or probability of 0.6825
Given at least 1 success, the probability of at least two successes is .35*.35+.35*.65*.65*.35=0.5775
probability of at least 2 successes given at least 1 failure is 0.2389, the probability of 2 successes.