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McGraw Hill Glencoe Geometry, 2012 View details

6. Probabilities of Mutually Exclusive Events

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Exercise 10 Page 961

Can both events occur at the same time?

Mutually exclusive or not? Not mutually exclusive.
Probability: $\frac{1 3}{2 0}$ or $65 %$

Practice makes perfect

We want to determine whether the events are mutually exclusive and find the probability of their union. We will do these things one at a time.

Mutually Exclusive

Events that cannot occur at the same time are mutually exclusive. Mutually exclusive events have no outcomes in common. For example, because it is not possible to toss a coin and obtain heads and tails at the same time, these two events are mutually exclusive.

Rules for Probability
If $A$ and $B$ are mutually exclusive events, the probability that $A$ and $B$ will occur is $P (A and B) = 0 .$	If $A$ and $B$ are not mutually exclusive events, the probability that $A$ and $B$ will occur is $P (A and B) \neq = 0 .$

We select a number at random from integers

1

20

. Let

A

be selecting an even number and

B

be selecting a number divisible by

3

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Subchapter links

Check Your Understanding p.961

Practice and Problem Solving p.961-962

H.O.T. Problems p.962

Standardized Test Practice p.963

Spiral Review p.963

Exercise 10 Page 961

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Mutually Exclusive

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