There are two roads from A to B and two roads from B to C. Each of the four roads is blocked by snow with probability p, independently of the others. Find the probability that there is an open road from A to B given that there is no open route from A to C. If, in addition, there is a direct road from A to C, this road being blocked with probability p independently of the others, find the required conditional probability.

MATLAB: An Introduction with Applications
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There are two roads from A to B and two roads from B to C. Each of the four roads is blocked by
snow with probability p, independently of the others. Find the probability that there is an open road
from A to B given that there is no open route from A to C.
If, in addition, there is a direct road from A to C, this road being blocked with probability p
independently of the others, find the required conditional probability.
Transcribed Image Text:There are two roads from A to B and two roads from B to C. Each of the four roads is blocked by snow with probability p, independently of the others. Find the probability that there is an open road from A to B given that there is no open route from A to C. If, in addition, there is a direct road from A to C, this road being blocked with probability p independently of the others, find the required conditional probability.
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