#1 The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below.

	Business Degrees	Nonbusiness degrees	Total
Male	185,648	601,769	787,417
Female	163,627	894,959	1,058,586
Total	349,275	1,496,728	1,846,003

(a) Find the probability that a randomly selected student is male, given that the student received a business degree.

(Round to three decimal places as needed.)

(b) Find the probability that a randomly selected student received a business degree, given that the student is female.

(Round to three decimal places as needed.)

The table below shows the results of a survey that asked 2867 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). (Round to the nearest thousandth as needed.)

	Frequently	Occasionally	Not at all	Total
Male	221	458	799	1478
Female	206	450	742	1398
Total	427	908	1541	2876

(a) Find the probability that the person is frequently or occasionally involved in charity work.

(b) Find the probability that the person is female or not involved in charity work at all.

(c) Find the probability that the person is male or frequently involved in charity work. (d) Find the probability that the person is female or not frequently involved in charity work.