210-peters-07faex01-vA

# 210-peters-07faex01-vA - Math 210 — Topics in Finite Math...

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Unformatted text preview: Math 210 — Topics in Finite Math ' Fall 2007 ~ First Midterm Name: TA: VERSION A (a The exam has 5 problems. ’( (c Calculators are not allowed. ) b) Show your work for every problem. Answers without justiﬁcation will not receive credit. ) (d) There is a blank page at the end of the exam for if you need it. Problem Points Score '1 20 2 20 3 2O 4 20 . 5 _ 20 Total '100 1. (a) ('10 points) We ﬂip a fair coin 12 times, What is the chance that we ﬂip heads exactly 8 times? I . (b) (10 points) We ﬂip the ﬁrst time and we get heads. What is now the chance that we get exactly 8 heads? 2. (a) (10 points) How many 8—letter ” words” can you make from the letters of the word business? (b) (10 points) How many 2-letter ”Words” can you make from the letters of the word business? 3. (20 points) We throw 3 fair dice. What is the chance that we throw exactly one six and exactly one ﬁve? 4. (20 points) A sample space is partitioned into sets A1, A2 and A3, with Pr[A1] = 0.5 and Pr[A2] = 0.3. The event B satisﬁes Pr[B] = 0.6 and P1‘[B ﬂ (A2_U A3)] = 0.3. Are the events A1 and B independent? 5. An urn contains 6 balls, 2 green balls and 4 red balls. We draw one ball from the um and keep it in our left hand7 and then draw another ball with our right hand. (a) (10 points) What is the chance that the two drawn balls have different colors? (b) (10 points) If the ball in our right hand is red? what is the chance that the ball in our left hand is red as well? ...
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## This note was uploaded on 08/08/2008 for the course MATH 210 taught by Professor Wainger during the Fall '08 term at Wisconsin.

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210-peters-07faex01-vA - Math 210 — Topics in Finite Math...

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