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In a large town, Kennedy Avenue is a long north-south
Chapter , Problem 22(choose chapter or problem)
In a large town, Kennedy Avenue is a long north-south avenue with many intersections. A drunken man is wandering along the avenue and does not really know which way he is going. He is currently at an intersection O somewhere in the middle of the avenue. Suppose that, at the end of each block, he either goes north with probability 1/2, or he goes south with probability 1/2. Draw a tree diagram to find the probability that, after walking four blocks, (a) he is back at intersection O; (b) he is only one block away from intersection O.
Questions & Answers
QUESTION:
In a large town, Kennedy Avenue is a long north-south avenue with many intersections. A drunken man is wandering along the avenue and does not really know which way he is going. He is currently at an intersection O somewhere in the middle of the avenue. Suppose that, at the end of each block, he either goes north with probability 1/2, or he goes south with probability 1/2. Draw a tree diagram to find the probability that, after walking four blocks, (a) he is back at intersection O; (b) he is only one block away from intersection O.
ANSWER:Step 1 of 4
Given:
A man is standing at intersection O.
The probability of going north = The probability of going south = 0.5.
The total number of blocks that he takes is equal to 4.