# Probability & useage of z score

Jul 9th, 2016
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Directions - Please show all work on scrap paper and staple it to this test. Please label thescrap to indicate the question you are working on. Good luck.1) Consider two bags of marbles, A and B, with the following contentsBag A5 white marbles3 red marbles2 green marblesBag B3 white marbles4 red marbles3 green marblesA single marble is drawn from each bag.a) (3 points) What is the probability of drawing a white marble out of Bag A and a redmarble out of Bag B?Total number of marbles in Bag A = 10, Number of white marbles in Bag A = 5Hence probability of drawing white marble from Bag A = 5/10 = 1/2Similarly total number of marbles in Bag B = 10, Number of red marbles in Bag B = 4Hence probability of drawing red marble from Bag B = 4/10 = 2/5Probability of drawing white marble from Bag A & red marble from Bag B1 2 1 =Answer2 5 5b) (3 points) What is the probability of getting a green marble out of Bag A or a whitemarble out of Bag B?Probability of drawing green marble from Bag A = 2/10 = 1/5Probability of drawing white marble from Bag B = 3/10Hence Probability of drawing green marble from Bag A &white marble from Bag B1 3=5 10c) (4 points) What is the probability of getting two marbles of the same color?There are three possible options that both drawn marbles are either white, or red or greenhence Probability of drawing white marble from both bags will be =Probability of drawing red marble from both bags will be=Probability o

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