If two events are not independent, then we say that they are dependent. In sampling without replacement, each member of a population may be chosen only once, and the events are considered not to be independent. When events do not share outcomes, they are mutually exclusive of each other.
Q. How do you find the independent variable in research?
An easy way to think of independent and dependent variables is, when you’re conducting an experiment, the independent variable is what you change, and the dependent variable is what changes because of that. You can also think of the independent variable as the cause and the dependent variable as the effect.
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Q. How do you know if probability is dependent or independent?
Independent Events:
- Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.
- If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.
Q. Can an event be mutually exclusive and independent?
Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. This of course means mutually exclusive events are not independent, and independent events cannot be mutually exclusive.
Q. How do you prove independent events?
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.
Q. Can 2 events be independent and disjoint?
Two disjoint events can never be independent, except in the case that one of the events is null. Events are considered disjoint if they never occur at the same time. For example, being a freshman and being a sophomore would be considered disjoint events.
