An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food), walking along the sides of the square. The problem is that on each side, with probability p, there may be a predator preventing it from passing. The ant tries to go through where there are no predators. It is known that the events related to the presence of the predator on each side They are independent.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food), walking along the sides of the square. The problem is that on each side, with probability p, there may be a predator preventing it from passing. The ant tries to go through where there are no predators. It is known that the events related to the presence of the predator on each side They are independent. Find the probability that

a) The ant gets its food.

b) There is at least one predator in the square, knowing that the ant gets its food.

c) There are 4 predators in the square, knowing that the ant did not get its food.

Need help with letter b :(

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