Rick and his friends have spent the part 6 years evading the \"walking dead\" in

Question

Rick and his friends have spent the part 6 years evading the "walking dead" in a post-zombie-apocalypse hell space. They're deciding whether to head for Washington DC (W) or New York City (N). Their probability of making it alive to Washington is 0.20. The probability of making it alive to both cities is 0.10. The probability of making it alive to at least one city is 0.20. What is the probability that they'll make it alive to New York? (In this case, don't assume that N and w are complements! You'll have to manipulate one of the other probability rules to find the answer) What is three probability of getting to Washington given that they have made it to New York? What is the probability of getting to New York given that they have made it to Washington? Are the two events, N and independent? Explain using probabilities. Are the event N and W mutually exclusive? Explain why or why not.

Explanation / Answer

here two events are inpendent why because the probablity of one event does not effects on other even so
a and b are independent then p(a and b)=p(a)p(b)
assume
p(washington)=p(a)=0.20
p(newyork)=p(b)=0.10
and p(a and b)=0.20*0.10
=0.02
p(a/b)=p(a and b)/p(b)
=0.02/0.10
=0.20
p(b/a)=p(a and b)/p(a)
=0.02/0.20
=0.1

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