22. A study by the National Park Service revealed that 50 percent of vacationers going to the
Rocky Mountain region visit Yellowstone Park, 40 percent visit the Tetons, and 35 percent
visit both.
a. What is the probability a vacationer will visit at least one of these attractions?
c. Are the events mutually exclusive? Explain.

A local bank reports that 80 percent of its customers maintain a checking account, 60 percent have a savings account, and 50 percent have both. If a customer is chosen at random, what is the probability the customer has either a checking or a savings account? What is the probability the customer does not have either a checking or a savings account?

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Quote:

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Originally Posted by duckboy1

A local bank reports that 80 percent of its customers maintain a checking account, 60 percent have a savings account, and 50 percent have both. If a customer is chosen at random, what is the probability the customer has either a checking or a savings account? What is the probability the customer does not have either a checking or a savings account?

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I will show you how to do this one, then you can use that knowledge to do the first OK? It is the same type of problem.

The probability they have a checking OR a savings can be solved by using the formula:



Just fill in your 'givens'.

The probability they have none can be found by subtracting the above solution from 1.

Also, here is a Venn diagram. By adding up the entries in each you should arrive at the same solution as with the formula.