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:
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?
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
Probability shows up everywhere! Here are some everyday examples:
The formula
Probability = Number of ways it can happen รท Total number of outcomes
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!