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 \(\frac{3}{5}\).