"Solve the probabilities for the following Bernoulli Trials where p = pr[Success] and q = pr[Failure]:

(1) At least 3 successes in 9 trials with p = 0.7

(2) At least 3 failures in 10 trials with p = 0.35"

This one has thrown me off a bit. I know the formula: C(n,r)(p^r)(q^(n-r)) but there is another one that I think I am supposed to use that I don't fully understand. The one that I don't quite grasp is: 1-C(n,r) (p^r)...something something that's where I lose it. If I can see this one done once through I should have the rest of it down.

Thanks in advance for any help,

Corwin