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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
In 1.54Pathfinding, we consider the a path with fixed start and end points on a grid. The
paths may move right and up on the grid only. Suppose we have points
A = (a1, a2)
B = (b1, b2)
C = (c1, c2)
D = (d1, d2)
where a1 < b1 < c1 < d1 and a2 < b2 < c2 < d2.
(a) Write an expression for the
both B and C.
(b) Write an expression for the probability that a random path from A to D will pass through
B, but not C.
(c) Write an expression for the probability that a random path from A to D will pass through
neither B nor C.
(d) Find the probability a path from (0, 0) passes through (9, 9), but not (5, 5) or (7, 7).
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VIEW Step 5: (d)probability that a path from (0, 0) passes through (9, 9), but not (5, 5) or (7, 7).
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