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

94
Start Fraction 9 over 4 End Fraction

59
Start Fraction 5 over 9 End Fraction

4
4

49

Answer 1

To find the probability of selecting an even number using the uniform probability model for numbers 1 to 9, we first need to identify the even numbers in this range. The even numbers between 1 and 9 are: 2, 4, 6, and 8.

Since there are 9 total numbers (1 through 9) and they are equally likely to be selected, the probability of selecting any specific number is:

\[
\text{Probability of each number} = \frac{1}{9}
\]

Next, we count the even numbers:

- Even numbers: 2, 4, 6, 8 (Total = 4 even numbers)

Now, we calculate the probability of selecting an even number:

\[
\text{Probability of selecting an even number} = \frac{\text{Number of even numbers}}{\text{Total numbers}} = \frac{4}{9}
\]

Thus, the correct response is:

**\(\frac{4}{9}\)**.