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Unformatted text preview: Page 1of 2 GENG200 Probability and Statistics for Engineers Tutorial - 1 Question 1: Two balls are “randomly drawn” from a bowl containing 6 white and 5 black balls. What is the probability that one of the drawn is white and the other black? Answer: The 1st drawn ball may be any of the 11 The second drawn ball any of the remaining 10 It follows that the sample space = 11x10 =110 Also, there are 6x5 = 30 ways the in which the 1st ball selected is white and 2nd is black There are 5x6 = 30 ways that the 1st selected ball is black and 2nd is white Thus, the probability that one of the drawn is white and the other black = (30 +30)/110 = 6/11 Question 2: A class in probability theory consists of 6 men and 4 women. An exam is given and the students are ranked according to their performance. Assuming that no 2 students obtain the same score. a) How many different ranking are possible? b) If all rankings are considered equally likely, what is the probability that women receive the top 4 scores? scores?...
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