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...

Answer 1

First, we need to identify the even numbers from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20}.

The even numbers in this list are:

• 2
• 4
• 10
• 12
• 18
• 20

Now, we count the total number of even numbers:

• There are 6 even numbers.

Next, we count the total number of elements in the list:

• The total number of elements is 10.

The probability of picking an even number is given by the formula:

\[ \text{Probability} = \frac{\text{Number of even numbers}}{\text{Total number of numbers}} \]

Substituting the numbers we found:

\[ \text{Probability} = \frac{6}{10} \]

Now we simplify the fraction:

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

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