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Since we assume the participation in a pattern to be random, the probability for a specific activation schedule is computed as P A = ( ∏ k = 1 | A | f α ( k ) + δ | A | = 0 ) ∏ k = | A | + 1 P ( 1 − f α ( k ) ) (18).
Since opponents in this experiment are random, the probability of the hand winning was determined by simulating the player's starting hand against every possible random opponent's hand and community card combination.
Even under the best circumstances (when allele frequencies are equal and mating is random), the probability that 32 individuals would be heterozygous at a given locus is vanishingly small (<3×10−10).
Overall, for any two specificities chosen at random, the probability was 98.3 percent that their repertoires' VDJ H combinations overlapped by 10percentt or less (Fig. 2b).
However, if the errors are random, the probability that the same error-containing sequence will occur several times in a specific DG sequence sequenced <100 times is low.
Missingness was at random (the probability of missingness was not significantly related to any observed variables – sex, study, CpG site nor individual).
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For a continuous random variable, the probability density function provides the height or value of the function at any particular value of x; it does not directly give the probability of the random variable taking on a specific value.
gamma random variables, the probability of all possible elements consistent with the sum must be computed.
For a random array, the probability of an autocorrelation exceeding 3σ is 0.00443.
Since 's are continuous random variables, the probability to have multiple solutions for (9) is zero.
For a first-order stationary random process, the probability density function p[x(t ′ )] is independent of the time t ′.
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