A survey of 50 tourists on PEI showed that 20 had visited Avonlea Village, 30 had visited Sandspit,

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A survey of 50 tourists on PEI showed that 20 had visited Avonlea Village, 30 had visited

Sandspit, and 15 had visited both attractions.

Suppose that one of the 50 tourists is selected at random and dene the following two events:

A = tourist visited Avonlea Village”; S = tourist visited Sandspit”:

(a) Calculate the probability that the tourist visited Avonlea Village.

(b) Given that the tourist visited Sandspit, what is the probability that she also visited

Avonlea Village?

(c) Are A and S independent events? Explain your answer.

(d) Are A and S mutually exclusive events? Explain your answer.

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