A compound event is comprised of a sequence of two or more single events. Those single events are independent if the probabilities of later events are not affected by whether earlier events occurred. If they are affected, the events are dependent.
For example, when flipping a coin then rolling a die, the probability of rolling a 5 or 6 does not depend on the outcome of the coin flip. These events are independent.
When drawing two cards in a row from a shuffled deck of cards, the probability of drawing a 5 as the second card depends on the outcome of the first card drawn. If the first card is a 5, there is a reduced probability of drawing a 5 as the second card. These events are dependent.
No homework tonight – we’ll learn the notation and do practice work tomorrow.
