Page 1 of 5 ยท Introduction
What is probability?

Probability is the chance that something will happen. Will it rain today? Will you pick an apple from the bowl? Probability helps us answer these questions with a number!

Probability is always a number between 0 and 1:

0 = Impossible 0.5 = Even chance 1 = Certain
No way!Maybe...For sure!

Think of it like this:

Imagine a bag with 6 fruit โ€” 3 apples, 2 bananas, 1 orange. If you reach in without looking, what do you get?

๐ŸŽ Apple โ€” 3 out of 6 = 1/2
๐ŸŒ Banana โ€” 2 out of 6 = 1/3
๐ŸŠ Orange โ€” 1 out of 6 = 1/6
Page 2 of 5 ยท Writing probability
Three ways to write probability

Good news โ€” probability can be written three different ways and they all mean the same thing! Let's use the apple example (3 apples out of 6 fruit):

As a fraction โ€” 3/6 or 1/2

3 favourable รท 6 total. Read as "3 out of 6".

As a decimal โ€” 0.5

Just divide the fraction: 1 รท 2 = 0.5

As a percentage โ€” 50%

Multiply the decimal by 100: 0.5 ร— 100 = 50%

Quick conversion table

Fraction
Decimal
Percentage
1/2
0.5
50%
1/4
0.25
25%
1/10
0.1
10%
1/1
1.0
100%
Page 3 of 5 ยท Real-life examples
Probability all around us

Probability shows up everywhere! Here are some everyday examples:

1/2
Heads on a coin flip
1/6
Rolling a 3 on a dice
1/52
Drawing the Ace of Spades
๐ŸŽฒ
Getting an even number on a dice (2, 4, or 6)
3/6 = 0.5
๐Ÿƒ
Drawing a red card from a deck of 52
26/52 = 0.5
โ›…
Rain when forecast says 30% chance
30/100 = 0.3
๐Ÿ†
Winning a raffle with 1 ticket out of 100
1/100 = 0.01

The formula

Probability = Number of ways it can happen รท Total number of outcomes

Page 4 of 5 ยท Impossible vs certain
The two extremes

Some things will never happen, and some things will always happen. These are the two ends of our probability scale!

Probability = 0 ยท Impossible

ยท Rolling a 7 on a normal dice (it only goes to 6!)

ยท The sun rising in the west

ยท Picking a grape from a bag of only apples

Probability = 1 ยท Certain

ยท Rolling a number less than 7 on a normal dice

ยท The sun rising tomorrow morning

ยท Picking a fruit from a bag full of fruit

All probabilities must add up to 1

If probability of rain = 0.3, then probability of no rain = 0.7. Together: 0.3 + 0.7 = 1. This always works!

Remember: Probability of something NOT happening = 1 โˆ’ probability of it happening
Page 5 of 5 ยท Quiz time!
Test yourself