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www.mathgoodies.com/lessons/vol9/conditional
Definition: A conditional statement, symbolized by p q, is an ifthen statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A truth table for p q is shown below.
www.dictionary.com/browse/conditional
Conditional definition, imposing, containing, subject to, or depending on a condition or conditions; not absolute; made or allowed on certain terms: conditional acceptance. See more.
en.wikipedia.org/wiki/Conditional_probability
Conditioning on an event Kolmogorov definition. Given two events A and B, from the sigmafield of a probability space, with the unconditional probability of B (that is, of the event B occurring ) being greater than zero, P(B) > 0, the conditional probability of A given B is defined as the quotient of the probability of the joint of events A and B, and the probability of B:
www.reference.com/math/conditionalstatementgeometry23b0d3ef7ed50de1
What Is a Conditional Statement in Geometry? A conditional statement is an "ifthen" statement used in geometry to relate a particular hypothesis to its conclusion. An arrow originating at the hypothesis, denoted by p, and pointing at the conclusion, denoted by q, represents a conditional statement.
classroom.synonym.com/conditionalstatementmath5202350.html
A conditional statement in math is a statement in the ifthen form. Conditional statements, often called conditionals for short, are used extensively in a form of logic called deductive reasoning. ...
www.mathsisfun.com/data/probabilityeventsconditional.html
Conditional Probability. How to handle Dependent Events. Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events . Events can be "Independent", meaning each event is not affected by any other events.
en.wikipedia.org/wiki/Conditional_expectation
In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value – the value it would take “on average” over an arbitrarily large number of occurrences – given that a certain set of "conditions" is known to occur. If the random variable can take on only a finite number of values, the “conditions” are that ...
www.merriamwebster.com/dictionary/conditional
Conditional definition is  subject to, implying, or dependent upon a condition. How to use conditional in a sentence. subject to, implying, or dependent upon a condition; expressing, containing, or implying a supposition… See the full definition. SINCE 1828. Menu. JOIN MWU
www.mathgoodies.com/glossary/term.asp
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math.stackexchange.com/questions/3212102/definitionofconditionalprobability...
$\begingroup$ Your questions are legal and characteristic for someone who emphatically is taught that probability theory on this level is utterly depending on probability spaces. Let me try to put at ease: I predict that  if you gain more and more insight in probability theory  once upon a time questions like this will not bother you anymore.

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