Calculating the chance of simple events in Year 7 can be pretty fun! Let’s break it down into easy parts.

Key Terms You Should Know

Before we start calculating, let's learn some important words:

1. Probability: This tells us how likely something is to happen. It’s a number between 0 (not happening at all) and 1 (definitely happening).

2. Outcomes: These are the different results of an event. If you roll a six-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6.

3. Events: These are specific outcomes or a group of outcomes. If you roll the die and want to find the chance of getting an even number, the event includes the outcomes 2, 4, and 6.

4. Sample Space: This is the list of all possible outcomes. For our die, the sample space is {1, 2, 3, 4, 5, 6}.

How to Calculate Probability

To find the probability of a simple event, we can use this formula:

$$\text{Probability (P)} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$

Example: Rolling a Die

Let’s say we want to find the probability of rolling a 4 on a six-sided die:

1. Find the favorable outcomes: There is 1 way to roll a 4.

2. Find the total outcomes: There are 6 possible results (1, 2, 3, 4, 5, and 6).

Now, we can put these numbers into the formula:

$$P(\text{rolling a 4}) = \frac{1}{6}$$

Another Example

What if we want to find the chance of rolling an even number? The even numbers you can roll are 2, 4, and 6. That gives us 3 outcomes.

$$P(\text{rolling an even number}) = \frac{3}{6} = \frac{1}{2}$$

Conclusion

Now that you understand the basics, calculating the probability of simple events is easy! It’s all about counting the outcomes and using the formula. Once you get the hang of these ideas, you’ll start to see probability all around you, making math much more exciting!