Question

A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are even. The number 8 was generated 22 times.

What is the experimental probability of an even number other than 8 being generated? Write your answer as a decimal to the nearest hundredths place.

0.23
0.35
0.44
0.52

Answer 1

To find the experimental probability of generating an even number other than 8, we should first determine how many even numbers, besides 8, were generated.

We know:
- Total numbers generated = 300
- Total even numbers = 154
- Number of times 8 was generated = 22

Now we can calculate the number of even numbers other than 8:

\[
\text{Even numbers other than 8} = \text{Total even numbers} - \text{Number of times 8 was generated}
\]
\[
\text{Even numbers other than 8} = 154 - 22 = 132
\]

Next, we need to calculate the experimental probability of generating an even number other than 8. The experimental probability is given by the ratio of favorable outcomes to the total number of trials:

\[
P(\text{even number other than 8}) = \frac{\text{Number of even numbers other than 8}}{\text{Total numbers generated}}
\]
\[
P(\text{even number other than 8}) = \frac{132}{300}
\]

Now we perform the division:

\[
\frac{132}{300} = 0.44
\]

Thus, the experimental probability of generating an even number other than 8 is:

\[
\boxed{0.44}
\]