Question

A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.(1 point)

Answer 1

First, we identify the even numbers in the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20}:

The even numbers are: {2, 4, 10, 12, 18, 20}

Now, let's count the total number of even numbers:
- There are 6 even numbers: 2, 4, 10, 12, 18, and 20.

Next, we find the total number of numbers in the list:
- There are 10 numbers in total.

Now we can calculate the probability of picking an even number:

\[
\text{Probability of getting an even number} = \frac{\text{Number of even numbers}}{\text{Total number of numbers}} = \frac{6}{10}
\]

Now, we simplify the fraction:

\[
\frac{6}{10} = \frac{3}{5}
\]

Thus, the probability of getting an even number is \(\frac{3}{5}\).