Addition Rules for Probability

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10 Terms

1

What is the range of probability for any event?

The probability of any event will be between 0 and 1, inclusive.

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2

What does a probability of 0 represent?

A probability of 0 indicates that an event will not occur.

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3

What does a probability of 1 represent?

A probability of 1 indicates that an event is certain to occur.

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4

What must the sum of probabilities for a sample space equal?

The sum of probabilities for a sample space must equal 1.

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5

What is the probability of an empty set?

The probability of an empty set, or null set, equals 0.

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6

What is the complement of an event?

The complement of an event is the set of all outcomes in the sample that are not in the event.

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7

How can the probability of an event and its complement be calculated?

The probability of an event is equal to 1 minus the probability of its complement.

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8

What is the addition rule for two events E and F?

The probability that either E or F occurs is: P(E or F) = P(E) + P(F) - P(E and F).

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9

In the deck of cards example, what is the probability of drawing a heart or a queen?

The probability of drawing a heart or a queen is 16 out of 52 or approximately 30.77%.

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10

Why must we subtract the probability of the intersection in the addition rule?

We subtract the probability of the intersection to avoid counting outcomes common to both events twice.

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