MATH 1550H Midterm: MATH1550H-Test-Solutions (3)
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Legibly, please: if you have a question, ask it, use the back sides of the test sheets for rough work or extra space, you may use a calculator and an aid sheet. A and c need not be independent, though it is possible for them to be so. For an example where a and c are not independent, suppose a fair coin is tossed twice. Let a be the event that the rst toss is a h, b the event that the second toss is a h, and c be the event that the rst toss is a t . It"s pretty easy to check that a and. B are independent and that b and c are independent, but a and c are complementary events and so cannot be independent. For an example where a and c are independent, suppose a fair coin is tossed thrice.
