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The event A has probability 0.13 of occurring; and the event B has probability 0.34 of occurring. Also it is known that P(A and B) = 0.1. Calculate P(A or B) to two decimal places.

Question

The event A has probability 0.13 of occurring; and the event B has probability 0.34 of occurring. Also it is known that P(A and B) = 0.1. Calculate P(A or B) to two decimal places.

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Solution

The probability of either event A or event B occurring is given by the formula:

P(A or B) = P(A) + P(B) - P(A and B)

We can substitute the given values into this formula:

P(A or B) = 0.13 + 0.34 - 0.1

This simplifies to:

P(A or B) = 0.37

So, the probability of either event A or event B occurring is 0.37, or 37%, to two decimal places.

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