Sentence examples for 1 balls from inspiring English sources

If, however, one is told that a red ball was obtained on the first draw, the conditional probability of getting a red ball on the second draw is (r − 1)/(r + b − 1), because for the second draw there are r + b − 1 balls in the urn, of which r − 1 are red.

Theorem 2 Part 1 (Balls are maximizers of the Riesz-type functionals).

As shown in Fig. 1, balls represent the pores and line segments represent throats, with 1147 pores and 2265 throats altogether.

However, our problem (1.3) is taking over L 1 balls, which are not compact even in the weak topology w 1.

In Theorem 1, we will suppose without loss of generality that F ( x, 0 ) = 0 for x ≥ 0. Theorem 1 Part 1 (Balls are maximizers of the Hardy-Littlewood type functionals).

And then we can arrange L - 1 balls in (m - 1) places in (m - 1) L -1 ways with no constraint on the number of balls in each of (m - 1) places.

Note that white urns have only 1 ball, gray urns have at least 1, but less than v−m+1 balls, and black urns have v−m+1 balls.

I.e., m−1 urns have 1 ball, whereas the last urn in the figure has v−m+1 balls.

∀ k∈{1,…,m}, P(X≥k) is maximized when m−1 urns have 1 ball, and the remaining urn has the remaining v−m+1 balls.

This makes for a total of m−1 urns with only 1 ball, just like in setting A. The remaining v−m+1 balls are spread over |O|+1 urns (in gray in the "imaginary B"), each having one or more balls.

Put 1 ball in the middle cup.