A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20}

Question

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 total number of items in the list and the number of favorable outcomes (even numbers).

1. Total numbers in the list: There are 10 numbers.
2. Even numbers in the list: The even numbers are \( {2, 4, 10, 12, 18, 20} \). There are 6 even numbers.

Now, the probability \( P \) of picking an even number is given by the formula:

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

To simplify \( \frac{6}{10} \):

\[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]

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