"A SINGLE EVENT in probability is a single outcome from a random experiment, such as getting heads when flipping a coin or rolling a specific number on a die. It's a simple event because it can only happen in one way, and its probability is calculated by dividing the number of ways the specific outcome can occur by the total number of possible outcomes."
"What's the probability that when we spin the wheel of names below, we land on a name with the letter 'a' in it?"
Firstly, we work out 'the number of ways the specific event can occur' by counting how many people have an 'a' in their name, which is...
Then we work out the total number of possible outcomes by finding the whole class size, which is...
So, the probability that when we spin the wheel of names below, we land on a name with the letter 'a' in it is...
"Now it's your turn to show your understanding!"
"Experiment time!"
"If you flip a coin 2 times, do you actually think you will get each side an equal amount of times? In other words, do you think 1/2 of the time you will flip 'H', and 1/2 of the time you will flip a 'T'?" "Similarly, if you roll a die 6 times, do you actually think you will roll each number an equal amount of times? In other words, do you think 1/6th of the time you will roll a '1', and 1/6th of the time you will roll a '2', and so on?"
Sounds unlikely, but did you know 'the law of large numbers' states that as the number of trials (flips or rolls) in an experiment increases, the average of the results will converge to the expected probability? In other words, the more flips of the coin you do, the more likely each side will occur half the time, and the more rolls you do the more likely each numberis to occur a sixth of the time."
"Let's test this as a class using word clouds"