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 452797 1475

Female 206430 746 1382

Total 432 8821543 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