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1. A public event is being held in XYZ Park. The probability that a security check will detect a prohibited item is 0.9. The probability that the event will proceed without any security issues if no prohibited items are found is 0.95.

a. What is the probability that a prohibited item will be detected and the event will proceed without any security issues, assuming the events are independent?
b. If finding a prohibited item decreases the probability of the event proceeding without security issues to 0.5, what is the probability of both events occurring?

Sagot :

Answer:

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