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  2. Boole's inequality - Wikipedia

    en.wikipedia.org/wiki/Boole's_inequality

    P( at least one estimation is bad) = 0.05 ≤ P( A 1 is bad) + P( A 2 is bad) + P( A 3 is bad) + P( A 4 is bad) + P( A 5 is bad) One way is to make each of them equal to 0.05/5 = 0.01, that is 1%. In other words, you have to guarantee each estimate good to 99%( for example, by constructing a 99% confidence interval) to make sure the total ...

  3. Proof of Bertrand's postulate - Wikipedia

    en.wikipedia.org/wiki/Proof_of_Bertrand's_postulate

    Assume that there is a counterexample: an integer n ≥ 2 such that there is no prime p with n < p < 2n. If 2 ≤ n < 427, then p can be chosen from among the prime numbers 3, 5, 7, 13, 23, 43, 83, 163, 317, 631 (each being the largest prime less than twice its predecessor) such that n < p < 2 n .

  4. Bayes' theorem - Wikipedia

    en.wikipedia.org/wiki/Bayes'_theorem

    P (A), the prior, is the initial degree of belief in A. P (A | B), the posterior, is the degree of belief after incorporating news that B is true. the quotient ⁠ P(B | A) / P(B) ⁠ represents the support B provides for A. For more on the application of Bayes' theorem under the Bayesian interpretation of probability, see Bayesian inference.

  5. 403 (b) vs. 401 (k): What’s the difference in these ... - AOL

    www.aol.com/finance/403-b-vs-401-k-130056693.html

    403(b) vs. 401(k): How they work. Both 403(b) and 401(k) accounts offer workers the ability to save money for retirement on a tax-advantaged basis: in traditional versions of the plans or Roth ...

  6. Bertrand's ballot theorem - Wikipedia

    en.wikipedia.org/wiki/Bertrand's_ballot_theorem

    For each 'bad' path P, define a new path P′ by reflecting the part of P up to the first point it touches the line across it. P′ is a path from (−1, 1) to (p, q). The same operation applied again restores the original P. This produces a one-to-one correspondence between the 'bad' paths and the paths from (−1, 1) to (p, q).

  7. What is a 403(b) plan and how does it work? - AOL

    www.aol.com/finance/403-b-plan-does-134342368.html

    403(b) vs. 401(k) plans. Like a 401(k), 403(b) plans can be funded with pre-tax or after-tax dollars. Pre-tax contributions grow tax-deferred until you withdraw them at retirement, at which point ...

  8. Conditional probability - Wikipedia

    en.wikipedia.org/wiki/Conditional_probability

    Let D 1 be the value rolled on dice 1. Let D 2 be the value rolled on dice 2. Probability that D 1 = 2. Table 1 shows the sample space of 36 combinations of rolled values of the two dice, each of which occurs with probability 1/36, with the numbers displayed in the red and dark gray cells being D 1 + D 2. D 1 = 2 in exactly 6 of the 36 outcomes ...

  9. 403(b) Accounts Explained: What They Are and How They Differ ...

    www.aol.com/403-b-accounts-explained-differ...

    Understand how a 403(b) works so you can better benefit from privileges offered and build more wealth for retirement. Read on to learn more.