n a rural area, there is a road that connects location X and location Y, however this road cannot be passed about 50% of the time due to floods. There is another route that goes to location Z. The road from location X to Z is only passable 75% of the time and the road from location Z to Y is only passable 70% of the time. Furthermore, if the road between location X and Z is passable, then the road travelling from Z to Y is passable 80% of the time. If the route from location X to Y to Z is passable, then the route directly from location X to Y is passable 80% of the time. What is the probability of travelling from location X to Y? If during the night a flood makes the road from X to Z impassable, what is the probability that the traveller can still travel from Z to Y? Please answer completely will give rating surely

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In a rural area, there is a road that connects location X and location Y, however this road cannot be passed about 50% of the time due to floods. There is another route that goes to location Z. The road from location X to Z is only passable 75% of the time and the road from location Z to Y is only passable 70% of the time. Furthermore, if the road between location X and Z is passable, then the road travelling from Z to Y is passable 80% of the time. If the route from location X to Y to Z is passable, then the route directly from location X to Y is passable 80% of the time.

What is the probability of travelling from location X to Y?

If during the night a flood makes the road from X to Z impassable, what is the probability that the traveller can still travel from Z to Y?

Please answer completely will give rating surely

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