--DEFINITION--
'RELATIVE FREQUENCY' also called 'EXPERIMENTAL PROBABILITY' is an estimate of probability worked out from data collected from actual real-world experiments, whereas probability using 'chance' such as you have a 1/6th of a 'chance' of rolling a '2' on a fair die, is based on theory.
--EXAMPLE(S)--
THEORETICAL
"In theory...."
“Rolling a die and getting a ⚂ P('3') = 1/6 right, so if I roll it 6 times, do you think you will get a 3 at least once?"...let's try...
EXPERIMENTAL
"In reality...."
“...when we try to do a controlled experiment and roll the dice 6 times we actually got 3, 4, 6, 1, 4, 3, so is the ⚂ P('3') = 1/3?"
"Can theory ever mimic reality?"
"When flipping a coin, in theory the probability of getting a head is 1/2, or 50% of the time."
"So if you flip a coin 10 times, will you get 5 heads and 5 tails?", "What if you flip it 100 times?", "What about 1000 times?", "Do you think it gets closer to 50% the greater the number of flips?"
"Yes it does....!"
The Law of Large Numbers (LLN) states that as the number of trials in a random experiment increases, the experimental probability (the observed frequency) will get closer and closer to the theoretical probability. In simple terms: "The more times you try, the more your real-world results will look like the theoretical prediction."
"Let's test this as a class using word clouds"
