What is the probability of getting an even number when rolling a fair 6-sided die?

Question

Homi · Accepted Answer

We need to find the chance of rolling an even number on a die.

Step 1 — List all possible outcomes

Let's think about a fair 6-sided die. When we roll it, we can get different numbers. The numbers can be $\textbf{1, 2, 3, 4, 5,}$ or $\textbf{6}$ . These are all the possible results. So, the total number of possible outcomes is $\textbf{6}$ .

$\text{Total outcomes} = 6$

$\boxed{\text{Total outcomes} = 6}$

Diagram 1

Step 2 — Identify favourable outcomes

We want to get an even number. Even numbers are numbers that can be divided by $\textbf{2}$ . From our possible outcomes, the even numbers are $\textbf{2, 4,}$ and $\textbf{6}$ . These are the outcomes we are looking for. So, the number of favourable outcomes is $\textbf{3}$ .

$\text{Favourable outcomes} = 3$

$\boxed{\text{Favourable outcomes} = 3}$

Step 3 — Calculate the probability

The probability of an event is a ratio. It is the number of favourable outcomes divided by the total outcomes. Let's use the values we found. The number of favourable outcomes is $\textbf{3}$ . The total number of outcomes is $\textbf{6}$ .

$P(\text{even number}) = \frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(\text{even number}) = \frac{3}{6}$

$P(\text{even number}) = \frac{1}{2}$

$\boxed{P(\text{even number}) = \frac{1}{2}}$

Answer

(i) The probability of getting an even number is $\frac{1}{2}$ .

Question 5

Answer

More questions in Exercise 7.2