5

Part of 1997 Poland - Second Round

Problems(1)

k white and m black dice, equal sums remainders mod 7, probability

Source: Polish second round 1997 p5

k

m

black dice. Find the probability that the remainder modulo

7

of the sum of the numbers on the white dice is equal to the remainder modulo

7

of the sum of the numbers on the black dice.

probabilitysumsDiceremaindernumber theorycombinatorics