# ps2_sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT...

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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.370/2.37 Molecular Mechanics Fall 2007 PROBLEM SET 2 DUE: Friday, September 28 Assignments from Molecular Driving Forces , Dill & Bromberg. 1. Chapter 1, Problem 13 The probability that you draw an ace on the first draw is 4 52 (there are 52 cards in a deck and 4 aces). Since this is a problem without replacement, if you draw an ace the first time, at the second draw there are only 3 aces left out of 51 cards. Thus, the overall probability is 4 52 × 3 51 ≈ . 0045 2. Chapter 1, Problem 17 a) Since the fragments are independent p = p ( A ) p ( B ) p ( C ) = (0 . 01)(0 . 04)(0 . 025) = 1 × 10- 5 b) p = p ( A ) p ( B | A ) p ( C | A ) = (0 . 01)(0 . 40)(0 . 25) = 1 × 10- 3 3. Chapter 1, Problem 19 a) We assume that the probability of each child being a boy or girl is 1 2 . There are ( 3 2 ) ways of having 2 boys and one girl, and the probability of each of these is ( 1 2 ) 3 . Thus the overall probability is (...
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ps2_sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT...

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