Let’s say you have a Fair Coin and a Fair Six sided Die
You want to flip the coin to get Head and Roll the dice to get 6.
Both are different events with different probability, but we would like to get the probability that both the events occur together.
This is called Join Probability
It’s like AND Operator. I want to find the probability of Flipping Coin and Rolling 6 on a die. We want both the events to occur together. Now we have to check how can we calculate the probability
Now, there are 2 sides of coin, so the probability of getting Head is 1/2
Then, there are 6 sides of Die, so the probability of getting 6 is 1/6
The probability of getting both the events occurring is by multiplication
P(A AND B) = P(A) x P (B)
P(Heads) = 1/2
P(6) = 1/6
P(Heads and 6) = 1/2 * 1/6 = 1/12 = 0.8333