When all outcomes are different from the favorable outcome, it typically refers to a situation where the event of interest does not occur, resulting in a complete failure to achieve the desired result. This scenario is often analyzed in probability, where it highlights the concept of complementary events. Essentially, the favorable outcome is one distinct possibility, while all other outcomes represent the complement of that event. In statistical terms, this situation illustrates a zero probability for the favorable outcome.
Random events are events that do not have a determined outcome. The set of possible outcomes for a random event is always greater than one item.
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.
an event
It is still an event.
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.
Random events are events that do not have a determined outcome. The set of possible outcomes for a random event is always greater than one item.
Independent events.
Dependent event :)
Independence of the events.
The probability of an event is the number of outcomes that are favourable to the outcome divided by the total number of outcomes. For continuous variables, it is the proportion of the outcome space, but the same argument applies.The number of favourable outcomes must be non negative and so the probability has to be greater than or equal to 0. Also, the number of favourable outcomes can, at most, be as large as the total number so the probability must be less than or equal to 1.
It is an impossible event - which has probability zero.
One-way independence.
Lets first start by defining some terms:Probability (P) in statistics is defined as the chance of an event occurring.Probability experiment is a chance process that leads to results called outcomes.An outcome is the result of a single trial of a probability experiment.A sample set is the set of all possible outcomes of a probability experiment.An event consists of a set of outcomes of a probability experiment. An event can be one outcome or more than one outcome. The event can be anything from flipping a coin, to rolling a die, to picking a card.The probability of any event (E) is:(# of outcomes in E) / (total # of outcomes in sample space)For example: Find the probability a die is rolled and you get a 4?We know that there are 6 possibilities when rolling a die. We can either rolled a 1, or a 2, or a 3, or a 4, or a 5, or a 6.Using the equation above:P(rolling a 4)= 1/6The event in this case is rolling a 4.
an event
When the outcome consists of an event that is not the one you are looking for.