function renormalizing( x, size, rand, probabilities ) {
	var probs;
	var psum;
	var out;
	var N;
	var i;
	var j;
	var k;
	var u;

	N = x.length;
	probs = new Array( N );
	for ( i = 0; i < N; i++ ) {
		probs[ i ] = probabilities[ i ];
	}
	out = new Array( size );
	for ( i = 0; i < size; i++ ) {
		u = rand();
		psum = 0;
		for ( j = 0; j < N; j++ ) {
			psum += probs[ j ];
			if ( u < psum ) {
				break;
			}
		}
		for ( k = 0; k < N; k++ ) {
			if ( k === j ) {
				continue;
			}
			probs[ k ] /= 1.0 - probs[ j ];
		}
		probs[ j ] = 0.0;
		out[ i ] = x[ j ];
	}
	return out;
}
Samples without replacement from a discrete set using custom probabilities.

## Notes

-   After each draw, the probabilities of the remaining observations are renormalized so that they sum to one.

@private
@param {ArrayLike} x - array-like object from which to sample
@param {NonNegativeInteger} size - sample size
@param {Function} rand - PRNG for generating uniformly distributed numbers
@param {ProbabilityArray} probabilities - element probabilities
@returns {Array} sample