The table below gives a breakdown of the ages and genders of teachers at a local high school.

a. Find the probability that a randomly selected teacher is a male or at least age 50.

b. Find the probability that a randomly selected teacher is over age 50 given that the teacher is male.

c. Let event A=the teacher is at most 29 years old and event B=the teacher is female. Are events A and B independent? Use mathematics to justify your answer.

	<=29 years	30-39 years	40-49 years	>= 50 years
Male	10	12	36	14
Female	14	14	27	8