E]. Define event A as grade 11 students playing football and event b as grade 11 students playing baseball.Are the two events A and B mutually exclusive ? Briefly justify your answer.F). Define event A aa grade 11 students playing football and event B as grade 11 students playing baseball. Are the two eventsA and B independent? Justify your answer by providing some probability calculation using the three step process.

1. In a local high school, 30% of all Grade 11 students play football and 20% of all Grade 11 students play baseball. It is also estimated that 5% of all Grade 11 students play both sports. Use a two-way table, or otherwise any other method, to find the following probabilities. a) When a Grade 11 student is randomly selected, what is the probability that one is playing either football or baseball? Provide an interpretation of the answer. [2+2 marks] b) When a Grade 11 student is randomly selected, what is the probability that one is playing neither football nor baseball? [1 mark] c) When a Grade 11 student who is playing baseball is randomly selected, what is the probability that one is also playing football? [2 marks] d) When a Grade 11 student who is playing football is randomly selected, what is the probability that one is also playing baseball? Provide an interpretation of the answer. [2+2 marks] Page 1 of 3