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.
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.
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.
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.
Independent events.
Dependent event :)
Independence of the events.
It is an impossible event - which has probability zero.
One-way independence.
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
When the outcome consists of an event that is not the one you are looking for.
It is still an event.
A dependent event
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.
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.
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.