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Unformatted text preview: Brooklyn College Math 51.1 Department of Mathematics Fall 2009 Exam 1 Instructions. No notes or books are allowed. You must show your work and cross out any work you do not want graded. By signing your exam you are pledging that you have neither given nor received assistance on this exam. Your reasoning carries much more weight than the actual answer. An answer without an explanation will receive no credit . Make sure you give a rigorous explanation for every solution. You do not need to simplify your answers, although it would be nice if you could simplify all fractions as much as possible. 1. (21 points) True or False? Circle the correct answer, but do not explain. (a) For any two events A and B,P ( A B ) P ( A ) + P ( B ). TRUE / FALSE (b) When flipping a fair coin 8 times, the outcome HHTHTTTH (in this order) is more likely than HHHHHHHH. TRUE / FALSE (c) If P ( A ) = P ( A B ), then A B = ....
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