An event whose outcome does not depend on another event is considered independent. For example, flipping a coin and rolling a die are independent events; the result of the coin flip (heads or tails) does not affect the result of the die roll (1 through 6). Thus, the outcome of one event, like flipping a coin, can occur regardless of the other event's outcome. This independence allows for a straightforward calculation of probabilities for combined events.
It is an impossible event - which has probability zero.
When the outcome consists of an event that is not the one you are looking for.
A simple event in probability is an outcome that cannot be broken down into simpler components. For example, flipping a coin and getting heads is a simple event, as it has only one outcome. Another example is rolling a six-sided die and landing on the number 4, which is also a single, indivisible outcome.
If an event has one outcome or a collection of outcomes, it is referred to as a "simple event" if it has just one outcome, or a "compound event" if it consists of multiple outcomes. In probability theory, events are classified based on the number of possible outcomes they encompass. A simple event is a single occurrence, while a compound event combines two or more simple events.
No. The probability of an outcome (or event) is always a number between 0 and 1.
Independence of the events.
If two events are independent of one another, then the outcome of one event does not depend on the outcome of the other event. Example is flipping of two coins. The second coin is not dependent on the outcome of the first flip. But if you want to know if the two coins are the same (either both heads or both tails), then that outcome is dependent on the first coin and the second coin.
Independent events.
Dependent event :)
Two events complementary when one event occurs if and only if the other does not. Simple event do not depend on other events, it consists of on and only one outcome Doctor Chuck aka mathdoc Two events complementary when one event occurs if and only if the other does not. Simple event do not depend on other events, it consists of on and only one outcome Doctor Chuck aka mathdoc
It is an impossible event - which has probability zero.
One-way independence.
An outcome is the result of a single trial. For example, if I roll a die, one outcome would be a six. An event is a collection of one or more outcomes. Using the example of rolling a die, an event might be rolling two sixes in a row. Thus this event is comprised of two outcomes - rolling and six and rolling another six.
When the outcome consists of an event that is not the one you are looking for.
It is still an event.
A dependent event
No. The probability of an outcome (or event) is always a number between 0 and 1.