IXL - Find conditional probabilities (Geometry 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

What is the probability that

occurs given that

occurs?

Simplify any fractions.

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

What is the probability that

occurs given that

occurs?

Simplify any fractions.

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 probability that

occurs given that

occurs is called the conditional probability. It is written as

(

)

and is given by:

(

)

(

and

)

(

)

solution

It is given that

(

)

(

)

and

(

and

)

To find the probability that

occurs given that

occurs, divide the probability they both occur by the probability that

occurs.

(

)

(

and

)

(

)

So, the probability that event

occurs given that event

occurs is

Looking for more? Try these:

Lesson: Conditional probability

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Work it out

Not feeling ready yet? These can help:

AA.4Probability of independent and dependent events

A.6Simplify complex fractions

Lesson: Conditional probability

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