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Consider four molecules, all starting at the origin, which undergo a ld random walk, each with a 50% chance of going left or right along the x-axis at each time step. A. After 1 time step, what is the probability that 2 particles have gone left and 2 have gone right? Give your answer as a decimal number between 0 and 1 to 3 decimal places.

Consider four molecules, all starting at the origin, which undergo a ld random walk, each with a 50% chance of going left or right along the x-axis at each time step. A. After 1 time step, what is the probability that 2 particles have gone left and 2 have gone right? Give your answer as a decimal number between 0 and 1 to 3 decimal places.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please help with A - D. thank you!!!

Problem 1 (A Few Random Steps) Consider four molecules, all starting at the origin, which undergo a 1d random walk, each with a 50% chance of going left or right along the x-axis at each time step. A. After 1 time step, what is the probability that 2 particles have gone left and 2 have gone right? Give your answer as a decimal number between 0 and 1 to 3 decimal places. QUESTION 2 B. After 2 time steps, what is the probability that all of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places.
Transcribed Image Text:Problem 1 (A Few Random Steps) Consider four molecules, all starting at the origin, which undergo a 1d random walk, each with a 50% chance of going left or right along the x-axis at each time step. A. After 1 time step, what is the probability that 2 particles have gone left and 2 have gone right? Give your answer as a decimal number between 0 and 1 to 3 decimal places. QUESTION 2 B. After 2 time steps, what is the probability that all of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places.
C. After 2 time steps, what is the probability that none of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places. QUESTION 4 1 pc D. After two time steps, what is the probability that one or more particles are not at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places.
Transcribed Image Text:C. After 2 time steps, what is the probability that none of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places. QUESTION 4 1 pc D. After two time steps, what is the probability that one or more particles are not at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places.
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