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# Mutually Inclusive Events

## Probability of two events that can occur at the same time P(A or B) = P(A) + P(B) -  P(A and B)

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Mutually Exclusive and Mutually Inclusive Events

Mutually Exclusive Events

definition: two events that cannot occur at the same time

example: picking a number that is even and picking a number that is odd

if A and B are two mutually exclusive events then P(A or B) = P(A) + P(B)

Mutually Inclusive Events

definition: two events that can occur at the same time, "overlapping"

example: picking a number that is even and picking a number that is less than 10

if A and B are two mutually inclusive events then P(A or B) = P(A) + P(B) - P(A and B)

Which of the following events are mutually exclusive and mutually inclusive?

picking a face card and picking a red card

picking an Ace and picking a face card

picking a prime number and picking a number greater than 10

picking an even number and picking a prime number

picking a multiple of 3 and picking a prime number

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