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  2. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...

  3. Conditional expectation - Wikipedia

    en.wikipedia.org/wiki/Conditional_expectation

    Conditional expectation. In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on only a finite number of values, the "conditions" are that the variable can ...

  4. Conditional probability distribution - Wikipedia

    en.wikipedia.org/wiki/Conditional_probability...

    The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable. If the conditional distribution of Y {\displaystyle Y} given X {\displaystyle X} is a continuous distribution , then its probability density function is known as the ...

  5. Talk:Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Talk:Coupon_collector's...

    Given n coupons, how many coupons do you expect you need to draw with replacement before having drawn each coupon at least once. —Preceding unsigned comment added by 131.155.59.211 11:30, 21 January 2010 (UTC) I agree with this. The problem defn. on the page was not clear to me at all. Magicmike 19:42, 22 February 2011 (UTC)

  6. Conditional probability - Wikipedia

    en.wikipedia.org/wiki/Conditional_probability

    Probability theory. In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) is already known to have occurred. [ 1] This particular method relies on event A occurring with some sort of relationship with another event B.

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  8. Expected value - Wikipedia

    en.wikipedia.org/wiki/Expected_value

    This is because, in measure theory, the value of the Lebesgue integral of X is defined via weighted averages of approximations of X which take on finitely many values. [19] Moreover, if given a random variable with finitely or countably many possible values, the Lebesgue theory of expectation is identical to the summation formulas given above.

  9. Conditional entropy - Wikipedia

    en.wikipedia.org/wiki/Conditional_entropy

    The violet is the mutual information . In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable given that the value of another random variable is known. Here, information is measured in shannons, nats, or hartleys. The entropy of conditioned on is written as .