Problem Statement

(Given an equal-probability generator of one of the integers 1 to 5 as dice5),   create dice7 that generates a pseudo-random integer from 1 to 7 in equal probability using only dice5 as a source of random numbers,   and check the distribution for at least one million calls using the function created in   Simple Random Distribution Checker.

Implementation suggestion: dice7 might call dice5 twice, re-call if four of the 25 combinations are given, otherwise split the other 21 combinations into 7 groups of three, and return the group index from the rolls. (Task adapted from an answer here)

Let's start with the solution:

import scala.util.Random

object SevenSidedDice extends App {
  private val rnd = new Random

  private def seven = {
    var v = 21

    def five = 1 + rnd.nextInt(5)

    while (v > 20) v = five + five * 5 - 6
    1 + v % 7
  }

  println("Random number from 1 to 7: " + seven)

}