The table below shows the results of a survey that asked 2857 people whether they are involved in any type of charity work. A person is selected at random from the sample
Frequently Occasionally Not at all Total
Male 226 452 797 1475
Female 206 430 746 1382
Total 432 882 1543 2857
a) Find the probability that the person is frequently or occasionally involved
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
e) Are the events "being female" and "being frequently involved in charity work" mutually exclusive? yes or no and why