ps2_sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 (...
View Full Document

Page1 / 3

ps2_sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online