IXL - Identify probability distributions (Precalculus practice)

Does the table show the values of a valid probability function on the outcomes in a sample space?

Probability

0.5

0.1

0.3

yes

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question

Does the table show the values of a valid probability function on the outcomes in a sample space?

Probability

0.4

0.5

0.1

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 probabilities of the outcomes in a sample space must satisfy the following conditions:

For each outcome
x
,

0
≤
P
(
x
)
≤
1
.
The sum of the probabilities of all outcomes is equal to 1.

The function

↦

(

)

is called a probability function.

solution

Since each probability satisfies

≤

(

)

≤

they are all valid probabilities.

Now, sum the given probabilities and see if the result is 1.

≟

0.4

0.5

0.1

The sum of the probabilities is equal to 1, so the table shows the values of a valid probability function on outcomes in a sample space.

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