Outcomes are like the main parts of probability.

To understand basic probability, we first need to know what an outcome is.

In probability, an outcome is a possible result from a random experiment.

For example, when you toss a coin, the possible outcomes are either heads (H) or tails (T).

The clearer we define our outcomes, the easier it is to figure out their probabilities.

To find the probability of a specific outcome happening, we can use this simple formula:

Probability of an outcome = (Number of favorable outcomes) / (Total number of outcomes)

Let’s look at an example.

If we roll a six-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6.

If we want to find the probability of rolling a 3, there is one favorable outcome (rolling a 3) and a total of six outcomes.

So, the probability will be:

Probability of getting a 3 = 1 / 6

Now, when we combine outcomes from independent events, we use some easy probability rules.

For two independent events, A and B, the probability of both A and B happening (like rolling a die and tossing a coin) is found by multiplying their probabilities:

Probability of A and B = Probability of A × Probability of B

Let's use our dice and coin example again.

If the probability of rolling a 4 is 1 / 6 and the probability of getting heads on a coin toss is 1 / 2, we can find the combined probability:

Probability of rolling a 4 and getting heads = (1 / 6) × (1 / 2) = 1 / 12

This multiplication rule helps us figure out the chances of events happening together.

By getting a hang of these ideas, Year 7 students can build a solid base in probability and be ready for more complicated topics in math later on.