# Finite mathematics discussion questions

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1- In a survey of 375 individual investors regarding subscriptions to the New York Times (NYT), Wall Street Journal (WSJ), and USA Today (UST), the following data were obtained. 121 subscribe to the NYT. 147 subscribe to the WSJ. 69 subscribe to the UST. 40 subscribe to the NYT and WSJ. 26 subscribe to the WSJ and UST. 23 subscribe to the NYT and UST. 107 do not subscribe to any of these newspapers. (a) How many of the individual investors surveyed subscribe to all three newspapers? (b) How many subscribe to only one of these newspapers? 2- A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group? 3- An experiment consists of spinning the hand of the numbered disc shown in the following figure and then observing the region in which the pointer stops. (If the needle stops on a line, the result is discounted and the needle is spun again. Enter ∅ for the empty set.) (a) What is the appropriate sample space S for this experiment? 4- A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.) (a) the sum of the numbers shown uppermost is less than 4 (b) at least one 3 is cast ...
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School: UC Berkeley

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Question 1
(a)

20

121- (40-x)- (23-x) -x= 58+ x
147- (40-x) - (26-x) -x = 81+ x
69- (26-x)-(23-x) -x= 20+ x
(58+x) +(81+x) + (20+x) + (26-x)...

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