1.) An unbiased coin is tossed 20 times. Find the probability that the coin lands:
- heads exactly 11 times.
- tails at most 17 times.
- heads at most 3 times.
2.) A computer stores receives a box of a certain video game. The box contains 40 games of which 6 are defective. A quality-control inspector randomly chooses 7 games from the box.
- What is the probability that exactly 2 are defective?
- That exactly 0 are defective?
- That at most 4 are defective?