MA 114 Exam 3 Form B Solutions.pdf - MA 114 Introduction to...

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MA 114 - Introduction to Finite Mathematics Spring 2017 Instructor : Lucas Castle Exam 3 - Form B Solutions 1. [10 points] Determine the coefficients of x 5 y 2 and x 2 y 5 in the binomial expansion of ( x + y ) 7 .
2. Use De Morgan’s Laws to simplify the following sets (a) [6 points] ( A B ) 0 C
(b) [6 points] ( A ( C 0 B )) 0
3. Four people are running for class president: Liz, Fred, Sue, and Tom. The probabilities of Fred, Sue, and Tom winning are . 18 , . 23 , . 31, respectively. (a) [5 points] What is the probability of Liz winning?
Solving for Pr ( L ) yields Pr ( L ) = 0 . 26 . (b) [5 points] What is the probability that a male wins?
(c) [5 points] What is the probability that Tom loses?

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