Mutually Exclusive and Complementary Events

Front

What are mutually exclusive events?

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive events.

Tags

CCSS.HSS.CP.A.1

Front

What are complementary events?

Back

Complementary events are two outcomes of an event that are the only two possible outcomes. For example, when flipping a coin, heads and tails are complementary events.

Tags

CCSS.HSS.CP.A.1

Front

If the probability of an event A is 0.3, what is the probability of its complement?

Back

The probability of the complement of event A is 1 - P(A) = 1 - 0.3 = 0.7.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability of getting heads when the probability of getting tails is 0.4?

Back

The probability of getting heads is 0.6.

Tags

CCSS.7.SP.C.5

Front

When rolling a die, what is the probability of getting an odd number or a 4?

Back

The probability is 2/3.

Tags

CCSS.HSS.CP.B.7

Front

If there are 12 red roses, 5 yellow roses, and 3 white roses, what is the probability of not choosing a yellow rose?

Back

Front

What is the probability of not choosing a red rose from a vase with 12 red, 5 yellow, and 3 white roses?

Back

Front

In a standard deck of cards, what is the probability of drawing a spade or a red card?

Back

Tags

CCSS.HSS.CP.B.7

Front

How do you calculate the probability of two mutually exclusive events A and B occurring?

Back

For mutually exclusive events, P(A or B) = P(A) + P(B).

Tags

CCSS.HSS.CP.B.7

Front

How do you calculate the probability of two complementary events A and B?

Back

For complementary events, P(A) + P(B) = 1.

Tags

CCSS.HSS.CP.B.7