Understanding the difference between independent and dependent events in probability can be tricky for Year 1 gymnasium students, but we can break it down!

1. Independent Events
These events do not affect each other.

Think about flipping a coin and rolling a die.

What happens with one does not change what happens with the other.

So, if you flip a coin and it lands on heads, it doesn’t change the chances of rolling a 3 on the die.

Each event has its own chance of happening!

2. Dependent Events
These events do have an effect on each other.

A good example is drawing cards from a deck without putting the first card back.

When you draw a card, the deck gets smaller, which changes the chances for the next draw.

So, if you pull out a red card first, there are fewer red cards left for the next draw.

To get better at telling these events apart, students should practice finding examples in real life.

Using visual tools like probability trees can also help.

It might seem a bit tough at first, but with practice, these ideas will start to make more sense!