Understanding Basic Concepts
Imagine you're playing cards with a friend. You draw one card from the deck, then your friend draws the next card. Does the probability of your friend getting a certain card depend on the card you drew earlier? Of course! This is what we call conditional probability in independent events.
Probability of independent conditional compound events is the calculation of the probability of an event occurring by considering that another event has already occurred, where both events are fundamentally independent but mutually influence each other in the sequence of events.
This concept differs from ordinary probability because we must consider conditions that have already occurred before calculating the probability of the next event.
Mathematical Formula and Notation
For two events and that are independent but sequential, the conditional probability formula is: