What is probability?
How can we turn chance into a number?
How to calculate probability.
Take a coin, and flip it.
What did it land on? Heads or tails?
Whats the chance of that?
Even though the outcomes of flipping coins, rolling dice, drawing cards, and picking things out of a bag are random, we can calculate the likelihood of an event.
As for the coin? It has a probability of 1/2 of being heads, and a 1/2 probability of being tails, meaning that half the time it will land on heads and the rest of the time it will land on tails.
While this seems obvious, what about rolling a die?
Whats the probability of rolling a three?
To figure out the probability we need to break the problem down.
Probability of an event =
all possible outcomes
For our die, there is only one way to roll a 3 (your die lands with 3 face up),
and there are 6 possible outcomes (the die could land on any face from 1 to 6).
So the probability of rolling a three is 1/6.
Now lets go bigger. Calculate the probability for the following events:
Sometimes we want to know about probabilities of multiple things.
Like: what's the probability of rolling a 1 OR a 6?
Doing this is simple: we add the probability of rolling a 1, which is 1/6, to the probability of rolling a 6, which is also 1/6, to get 2/6 or reduced to 1/3.
Try this with the following: