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# tut11-10-large - A ∩ B = 0 2 Determine Pr A Pr B Pr A ∪...

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Problems to Week 10 Tutorial — MACM 101 1. Joshua draws two ping-pong balls from a bowl of twenty ping-pong balls numbered 1 to 20. Provide a sample space for this experiment if (a) the ﬁrst ball drawn is replaced before the second ball is drawn; (b) the ﬁrst ball drawn is not replaced before the sec- ond ball is drawn. 2. Twenty ﬁve slips of paper, numbered 1 , 2 , 3 ,..., 25, are placed in a box. If Amy draws six of these slips, with- out replacement, what is the probability that (a) the second smallest number drawn is 5? (b) the fourth largest number drawn is 15? (c) the second small- est number drawn is 5 and the fourth largest number drawn is 15? 3. Let S be the sample space for an experiment, and let A,B be events from S such that Pr ( A ) = 0 . 4, Pr ( B ) = 0 . 3, and Pr

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Unformatted text preview: ( A ∩ B ) = 0 . 2. Determine Pr ( A ), Pr ( B ), Pr ( A ∪ B ), Pr ( A ∪ B ), Pr ( A ∩ B ), Pr ( A ∪ B ). 4. Three missiles are ﬁred at an enemy arsenal. The prob-abilities the individual missile will hit the arsenal are 0.75, 0.85, and 0.9. Find the probability that at least two of the missiles hit the arsenal. 5. Determine the quotient q and the remainder r for each of the following, where a is the dividend and b is the divisor. (a) a = 123, b = 17; (b) a =-115, b = 12; (c) a = 0, b = 42; (d) a = 434, b = 31. 6. Write each of the following 10-base numbers in base 2 and 16 (a) 137; (b) 6243; (c) 12345. 7. Convert each of the following binary numbers to base 10 (a) 11001110; (b) 00110001....
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## This note was uploaded on 12/12/2010 for the course MACM 201 taught by Professor Marnimishna during the Fall '09 term at Simon Fraser.

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tut11-10-large - A ∩ B = 0 2 Determine Pr A Pr B Pr A ∪...

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