9.4 Compound Events

Front

What is a compound event in probability?

Back

A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin simultaneously.

Front

How do you calculate the probability of a compound event?

Back

To calculate the probability of a compound event, you can use the addition rule for mutually exclusive events or the multiplication rule for independent events.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of drawing a 5 or a diamond from a standard deck of cards?

Back

16/52 or 4/13.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of not rolling a 2 on a die?

Back

5/6.

Front

What is the probability of rolling an even number or a multiple of 3 on a die?

Back

2/3.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of rolling an odd number or a 4 on a die?

Back

2/3.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of drawing a spade or a red card from a standard deck?

Back

39/52 or 3/4.

Tags

CCSS.HSS.CP.B.7

Front

What is the definition of mutually exclusive events?

Back

Mutually exclusive events are events that cannot occur at the same time. For example, rolling a 1 and rolling a 2 on a single die.

Tags

CCSS.HSS.CP.A.5

Front

What is the definition of independent events?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die.

Tags

CCSS.HSS.CP.A.5

Front

How do you find the probability of two independent events occurring together?

Back

Multiply the probabilities of each event. For example, P(A and B) = P(A) * P(B).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4