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Unformatted text preview: OR 3500/5500, Summer’09, Chen Homework 2 Due on Monday, May 25, 3:00pm. For each problem just giving the answer will not suffice; a proper argument is required. Problem 1 A lock on a lab door has buttons numbered 0 through 9. The right code for opening the lock is 8542. Also, if on three consecutive attempts, a wrong code (a code is a combination of 4 ordered distinct digits) is entered, then a burglar alarm is let off. Anna forgot the right code, but remembers that the code consists of 4 distinct digits. So she keeps on trying one code after another without replacement. Compute the probability that she gets in (without letting off the alarm). Please report the answer in p q form, it’s OK to not simplify. Problem 2 An urn contains 10 Red and 5 black balls. Two balls are picked (one after the other) from the urn. Given that the second ball is red, find that probability that the first was also red....
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- Summer '08
- Playing card, Card game, five-card poker hand, pinochle deck