Antibiotic resistance is an increasing problem.

Antibiotic resistance is an increasing problem. The CDC reported that 38% of gonorrhea cases tested in 2014 were resistant to at least one of the three major antibiotics commonly used to treat gonorrhea. Consider a physician who treated 10 cases at some point in 2014.

1.    What is the probability that exactly 1 out of the 10 cases was resistant to at least three of the antibiotics?

2.    What is the probability that exactly 2 of the 10 cases was resistant?

3.    What is the probability that at least 1 of the cases was resistant?