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Unformatted text preview: ISyE 2027 Probability with Applications Fall 2006 R. D. Foley Homework 3 September 6, 2006 due on Tuesday, 12 September 1. Suppose we have a sample space with Pr( A ) = . 4, Pr( B ) = . 3, and Pr( A ∪ B ) = . 5. Compute (a) Pr( ¯ A ), where ¯ A denotes the complement of A , (b) Pr( A ∩ B ), (c) Pr( ¯ A ∩ ¯ B ), and (d) Pr( ¯ A ∪ ¯ B ). (e) Are A and B disjoint? 2. Suppose we have 3 f’s and 7 s’s. (a) How many different 10 letter “words” can we make? Suppose we have ( n- k ) f’s and k s’s. (b) How many different n letter “words” can we make? 3. Suppose you are dealt 6 cards from a well-shuffled standard deck. (a) What is the probability of having 4 of one kind and two of another kind? (b) What is the probability of having 4 kings and two queens? (c) What is the probability of having two triples? (d) What is the probability of having 3 kings and 3 queens? (e) What is the probability of a flush? (f) What is the probability of having all hearts?...
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- Spring '08
- Integers, Negative and non-negative numbers, 0 2k