Question

For a person travelling to the northeastern U.S., the probability of visiting Boston is 0.43, the...

For a person travelling to the northeastern U.S., the probability of visiting Boston is 0.43, the probability of visiting Providence is 0.33, and the probability of visiting both Boston and Providence is 0.12. Find the probabilities that

a). such a person who will visit Boston will also visit Providence

   (b)    such a person who will visit Providence will also visit Boston.

Math   Statistics-And-Probability   
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Answer #1

We use the general formula for Conditional probability :

We are given,

P(visiting Boston) = 0.43

P(visiting Providence) = 0.33

P(visiting both Providence and Boston ) = 0.12

a)

Probability that a person who will visit Boston will also visit Providence = P(visiting Providence | visiting Boston )

b)

Probability that a person who will visit Providence will also visit Boston = P(visiting Boston | visiting Providence)


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