1.7 Independence and Compound Probability
When the outcome of the previous event does not affect the outcome of the subsequent event, they are called Independent events. Say, the outcome of rolling a die. No matter, how many times you roll the die, the outcome of a roll will always be independent of any previous or subsequent rolls. Similarly, flipping a coin is another example of independent events since the outcome of trial one will not impact the outcome of trial two. Independent events can lead to Compound Probability, which can be defined as the probability of two or more Independent events occurring. It can be calculated by multiplying the probability of the first independent event by the probability of the second independent event.
The compound probability of independent events and
occurring can be calculated as: