IXL - Identify independent events (Precalculus practice)

In an experiment, the probability that event

occurs is

the probability that event

occurs is

and the probability that events

and

both occur is

Are

and

independent events?

yes

ref_doc_title.

Learn with an example

question

In an experiment, the probability that event

occurs is

the probability that event

occurs is

and the probability that events

and

both occur is

Are

and

independent events?

yes

key idea

A sample space is a set of possible

outcomes.

An event is a set of outcomes in a sample space. If

is an event, then

(

)

is the probability that

occurs.

The definition of independence states that

and

are independent events if and only if

(

and

)

(

)

(

)

solution

It is given that

(

)

(

)

and

(

and

)

and

are independent events, then

(

and

)

(

)

(

)

Check if this equation is true.

(

and

)

≟

(

)

(

)

≟

≠

(

and

)

is not equal to

(

)

(

)

and

are not independent events.

Looking for more? Try these:

Lesson: Compound probability

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Not feeling ready yet? These can help:

CC.4Find probabilities using two-way frequency tables

G.8Multiply fractions

Lesson: Compound probability

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