Question

Use the table to answer the question.

The table represents the probability distribution for numbers 1 to 9.
Numbers 1 2 3 4 5 6 7 8 9
Probability 19
19
19
19
19
19
19
19
19

Use the uniform probability model to find the probability of selecting an even number.

(1 point)
Responses

49
Start Fraction 4 over 9 End Fraction

4
4

94
Start Fraction 9 over 4 End Fraction

59

Answer 1

In the uniform probability model provided, each number from 1 to 9 has the same probability of being selected. Since there are a total of 9 numbers, the probability of selecting each number is:

\[
P(X) = \frac{1}{9}
\]

Now, let's identify the even numbers from 1 to 9. The even numbers are 2, 4, 6, and 8. There are 4 even numbers.

To find the probability of selecting an even number, we can use the formula:

\[
P(\text{even}) = \text{Number of even outcomes} \times P(X)
\]

Plugging in the numbers:

\[
P(\text{even}) = 4 \times \frac{1}{9} = \frac{4}{9}
\]

Therefore, the probability of selecting an even number is:

\[
\frac{4}{9}
\]

So, the correct response is:

**Start Fraction 4 over 9 End Fraction**