Compound Event
An event made up of two or more simple events.
A compound event is an event that involves two or more simple events. In probability theory, a simple event is an event that cannot be broken down any further and has a single outcome. For example, the simple event of flipping a coin and getting heads has a single outcome and cannot be broken down any further.
When two or more simple events are combined to create a new event, this is considered a compound event. For example, rolling a die and flipping a coin would be a compound event. The possible outcomes of this event would be the combination of the outcomes of each simple event. If the die landed on a 3 and the coin landed on heads, the outcome of the compound event would be (3, heads).
To calculate the probability of a compound event, you must calculate the probabilities of each simple event and then combine them appropriately. For example, if the probability of rolling a 3 is 1/6 and the probability of flipping heads is 1/2, the probability of the compound event (3, heads) would be (1/6) x (1/2) = 1/12.
It is important to note that some compound events can be dependent on each other, meaning that the outcome of one event can affect the outcome of another. For example, drawing two cards from a deck of cards without replacement is a compound event that is dependent on the previous outcome. If the first card drawn was a 9 of diamonds, the probability of drawing another 9 of diamonds would be different than if the first card drawn was a 3 of spades.
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