a) It is given E is the event of getting 2. We can observe that 2 is an even number. It is given F is the event of getting an even number. Event E is giving an even number and event F is also giving an even number.That means both are occuring at the same time. so they are not mutually exclusive. b)The events E and F to be complementary their probabilities should add up to 1. P(E) = 1/6 P(F) = 3/6 P(E)+P(F) = 1/6 + 3/6 = 4/6 = 2/3 2/3 is not equal to one. so events E and F are not complementary. Solution a) It is given E is the event of getting 2. We can observe that 2 is an even number. It is given F is the event of getting an even number. Event E is giving an even number and event F is also giving an even number.That means both are occuring at the same time. so they are not mutually exclusive. b)The events E and F to be complementary their probabilities should add up to 1. P(E) = 1/6 P(F) = 3/6 P(E)+P(F) = 1/6 + 3/6 = 4/6 = 2/3 2/3 is not equal to one. so events E and F are not complementary..