what are dependent or independent events?
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Independent/Dependent Events. Two events are independent if the result of the second event is not affected by the result of the first event. If A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events. P(A and B)=P(A)⋅P(B)
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Dependent and independent variables. From Wikipedia, the free encyclopedia. In an experiment, the variables used can be classed as either dependent or independent variables. The dependent variable is the possible outcome of the experiment; the effect. It depends on what happens to other variables in the experiment.
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An independent variable is the variable you have control over, what you can choose and manipulate. Example: You are interested in how stress affects heart rate in humans. ... A dependent variable is the variable being tested in a scientific experiment. The dependent variable is 'dependent' on the independent variable.
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Roughly speaking, independent variables represent function inputs, while dependent variables represent function outputs. The value of a dependent variable depends on what the input is.
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A) When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events. ... If P ( A ) = 0.50, P ( B ) = 0.30, and P ( A ∩ B ) = 0.15, then A and B are independent events.
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A dependent variable is what you measure in the experiment and what is affected during the experiment. ... It is called dependent because it "depends" on the independent variable. In a scientific experiment, you cannot have a dependent variable without an independent variable.
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['If A and B are dependent events, then the probability of A happening AND the probability of B happening, given A, is P(A) × P(B after A).', 'P(A and B) = P(A) × P(B after A)', 'then P(A and B) = P(A) × P(B | A)', 'Example:', 'Example:', 'Solution:']
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A dependent variable is a variable whose variations depend on another variable—usually the independent variable. An Independent variable is a variable whose variations do not depend on another variable but the researcher experimenting.
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Two events A and B are independent if knowing that one occurs does not change the probability that the other occurs. If A and B are independent, P(A and B) ... For any two events A and B, P(A or B) = P(A) + P(B) - P(A and B).
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Events are considered disjoint if they never occur at the same time; these are also known as mutually exclusive events. Events are considered independent if they are unrelated.
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Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring. Some other examples of independent events are: Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die.
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Conditional probability is probability of a second event given a first event has already occurred. ... A dependent event is when one event influences the outcome of another event in a probability scenario.
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Independent variables are those which do not depend on other variables. Dependent variables are those which are changed by the independent variables. The change is caused by the independent variable. In our example salary is the independent variable and the amount you spend is the dependent variable.
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Distinguish disjoint (also called mutually exclusive) and independent events. - If A and B are independent, then having information on A does not tell us anything about B. ... - Disjoint (mutually exclusive) events are always dependent since if one event occurs we know the other one cannot.
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- If A and B are independent, then having information on A does not tell us anything about B. - If A and B are disjoint, then knowing that A occurs tells us that B cannot occur. - Disjoint (mutually exclusive) events are always dependent since if one event occurs we know the other one cannot.
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Therefore, we see that a mutually exclusive pair of nontrivial events are also necessarily dependent events. This makes sense because if A and B are mutually exclusive, then if A occurs, then B cannot also occur; and vice versa. ... If two events are independent, they cannot be mutually exclusive.
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Events A and B are independent if: knowing whether A occured does not change the probability of B. Mathematically, can say in two equivalent ways: P(B|A) = P(B) P(A and B) ... Important to distinguish independence from mutually exclusive which would say B ∩ A is empty (cannot happen).