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

To find the probability of picking an even number from the list \(\{2, 4, 5, 7, 9, 10, 12, 15, 18, 20\}\), we first identify the even numbers in the list.

The even numbers are:
- 2
- 4
- 10
- 12
- 18
- 20

Now, let’s count the even numbers:
There are 6 even numbers.

Next, we determine the total number of numbers in the list:
The total count is 10.

The probability \(P\) of picking an even number is given by the ratio of the number of even numbers to the total number of numbers:

\[
P(\text{even}) = \frac{\text{Number of even numbers}}{\text{Total numbers}} = \frac{6}{10}
\]

Now, we simplify the fraction \(\frac{6}{10}\):

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

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