# q1sol - York University MATH 2030 3.0AF (Elementary...

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York University MATH 2030 3.0AF (Elementary Probability) Class Quiz – SOLUTIONS September 26, 2008 NAME: STUDENT NUMBER: You have 20 minutes to complete the quiz. There are 2 pages, containing 2 questions in total. You may bring one letter-sized two-sided formula sheet to the exam. No other books or notes may be used. You may use a calculator. Show all your work, and explain or justify your solutions to the extent possible. You may leave numerical answers unsimpliﬁed, including binomial coeﬃcients. Use the back of your page if you run out of room. 1. Events A and B satisfy P ( A ) = 0 . 5 P ( B ) = 0 . 4 P ( A B ) = 0 . 3 (a) [5] Find P ( A B ). (b) [5] Find P ( A c B ). Solution: (a) P ( A B ) = P ( A ) + P ( B ) - P ( A B ) = 0 . 5 + 0 . 4 - 0 . 3 = 0 . 6 by inclu- sion/exclusion. (b) 0 . 4 = P ( B ) = P ( A B ) + P ( A c B ) = 0 . 3 + P ( A c B ), and subtracting, we get P ( A c B ) = 0 . 4 - 0 . 3 = 0 . 1 Alternatively you could have used a Venn diagram to break

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## This note was uploaded on 12/11/2010 for the course MATH MATH 2030 taught by Professor Sikh during the Winter '09 term at York University.

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q1sol - York University MATH 2030 3.0AF (Elementary...

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