How Does Making Probability Mathematical | Infinite Series Work?

Imagine you're playing a game where every time you flip a coin, there’s a chance it lands heads, and you want to know how likely it is that you’ll get heads over and over again.

Probability helps us understand chances. Like when you roll a die, there are 6 possible outcomes, so the chance of rolling a 3 is 1 out of 6. But what if we keep flipping coins, or rolling dice, forever?

That’s where infinite series come in! Think of it like this: every time you flip a coin, you're adding up all your chances of getting heads again and again. It's like stacking blocks one after another, higher and higher, forever.

Let’s say the chance of flipping heads is 1 out of 2 (or 1/2). So:

• After the first flip: 1/2
• After two flips: 1/2 + 1/4 = 3/4
• After three flips: 1/2 + 1/4 + 1/8 = 7/8

Each time, you’re adding half of what you added before. If you keep doing this forever, the total gets closer and closer to 1, like a growing tower that never stops getting taller!

Infinite series are just like that growing tower: they help us add up things forever, even if it seems impossible!