a number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. what is the…

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)

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

Explanation:

Step1: Count total numbers

The set has 10 numbers: ${2, 4, 5, 7, 9, 10, 12, 15, 18, 20}$, so $n = 10$.

Step2: Count even - numbered elements

The even - numbered elements are ${2, 4, 10, 12, 18, 20}$, and there are 6 of them, so $m=6$.

Step3: Calculate probability

The probability $P$ of an event is given by $P=\frac{m}{n}$. Substituting $m = 6$ and $n = 10$, we get $P=\frac{6}{10}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$