when the occurance of an event B is not affected by the occurance of event A than we can say that these events are not dependent with each other
Two independent events occurring.
False
in order in which events occur.
events that have one or more outcomes in common.
The definition of the word plot, in English, the order of events told in a story.
Two independent events occurring.
Concurrent independent events or simultaneous independent events
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.
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.
In that case, the events are said to be independent.
I make a cup of coffee and it rains in Sri Lanka are independent events.
if P(A)>0 then P(B'|A)=1-P(B|A) so P(A intersect B')=P(A)P(B'|A)=P(A)[1-P(B|A)] =P(A)[1-P(B)] =P(A)P(B') the definition of independent events is if P(A intersect B')=P(A)P(B') that is the proof
The product rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. In genetics, the product rule is used to calculate the probability of inheriting multiple independent traits or alleles simultaneously from different parents.
Two events are independent if the outcome of one has no effect on the probability of the outcomes for the other.
Events that are not related to the density.
No, you multiply for independent events.
Yes.