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What is independent events in probability concepts?
The occurrence of one event does not affect the occurrence of the other event. Take for example tossing a coin. The first toss has no affect on the outcome of the second toss, so these events are independent.
When the occurrence of one event does not influence the occurrence of the other?
They are independent events.
Can two events be mutually exclusive and independent simultaneously?
No, two events cannot be mutually exclusive and independent simultaneously. Mutually exclusive events cannot occur at the same time, meaning the occurrence of one event excludes the possibility of the other. In contrast, independent events are defined such that the occurrence of one event does not affect the probability of the other occurring. Therefore, if two events are mutually exclusive, the occurrence of one event implies that the other cannot occur, which contradicts the definition of independence.
If an events occurrence has no impact on another event those two events are?
Independent
Which equation implies that A and B are independent events?
A and B are independent events if the probability of their intersection equals the product of their individual probabilities, which is mathematically expressed as P(A ∩ B) = P(A) * P(B). This means that the occurrence of event A does not affect the occurrence of event B and vice versa. If this equation holds true, then A and B can be considered independent.
If the probability of two events occurring together is 0 the events are called?
If the probability of two events occurring together is 0, the events are called mutually exclusive. This means that the occurrence of one event precludes the occurrence of the other, so they cannot happen at the same time. For example, flipping a coin can result in either heads or tails, but not both simultaneously.
If probability of occurrence of event A is p and that of occurrence of event B is q then what is probability that both the events do not occur?
The answer depends on whether A and B can occur together, that is, if they are mutually exclusive.
If the outcome of one event does not affect the other event the events are?
In that case, the events are said to be independent.
What is the independent event?
An independent event is an occurrence in probability theory where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events; the result of the coin flip does not influence the die roll. This concept is crucial in statistics and probability, as it helps in calculating the likelihood of multiple events occurring simultaneously.
When two events are disjoint they are also independent?
When two events are disjoint (or mutually exclusive), it means that they cannot occur at the same time; if one event occurs, the other cannot. Consequently, disjoint events cannot be independent, because the occurrence of one event affects the probability of the other event occurring. In fact, for disjoint events, the probability of both events happening simultaneously is zero, which contradicts the definition of independence where the occurrence of one event does not influence the other. Therefore, disjoint events are not independent.
How do you prosper from events?
Find the good out of what happens. Then you'll see the purpose and receive knowledge from the event or occurrence.
What is it called when two events in which one of the other can happen but they can not happen at the same time?
When two events cannot occur simultaneously but one may happen if the other does not, they are referred to as "mutually exclusive events." In probability theory, this means that the occurrence of one event precludes the occurrence of the other. For example, when flipping a coin, the outcomes of heads and tails are mutually exclusive.
