Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right" and "go up"(hence the walker will reach B in 10 steps). This man starts at Node A and take a "valid" path to reach B. Assume a valid path is taken randomly, with each path having equal probability to be chosen. (a) Find the probability of that the man passes by Node S. (b) Given that the man passes by Node S, find the condition probability of passing by T.

Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right" and "go up"(hence the walker will reach B in 10 steps). This man starts at Node A and take a "valid" path to reach B. Assume a valid path is taken randomly, with each path having equal probability to be chosen. (a) Find the probability of that the man passes by Node S. (b) Given that the man passes by Node S, find the condition probability of passing by T.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...

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