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# assn2 - Math 361 Problem Set 2 September 3 2010 Due...

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Math 361, Problem Set 2 September 3, 2010 Due: 9/13/10 1. (1.3.11) A bowl contains 16 chips, of which 6 are red, 7 are white and 3 are blue. If four chips are taken at random and without replacement, Fnd the probability that (a) each of the 4 chips is red (b) none of the four chips is red (c) there is at least one chip of each color. 2. (1.3.24) Consider three events C 1 ,C 2 ,C 3 . (a) Suppose C 1 ,C 2 ,C 3 are mutually exclusive events. If P ( C i )= p i , for i =1 , 2 , 3 what is the restriction on the sum p 1 ,p 2 ,p 3 . (b) In the notation of Part (a), if p 1 =4 / 10, p 2 =3 / 10, and p 3 =5 / 10 are C 1 ,C 2 and C 3 mutually exclusive? (c) Does it follow from your conclusion in part ( b ) that P ( C 1 C 2 C 3 ) > 0? Why or why not? 3. (1.4.7) A pair of 6-sided dice is cast until either the sum of seven or eight appears. (a) Show that the probability of a seven before an eight is 6/11. (b) Next, this pair of dice is cast until a seven appears twice (as a sum)

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assn2 - Math 361 Problem Set 2 September 3 2010 Due...

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