Question

Leah and Sam were playing a game with two dice. They took turns rolling the dice and finding the products of the numbers rolled. To make the game fair, if Leah rolls a certain product she gets 2 points. If Sam rolls a certain product, he gets 3 points. What might the products be?

Leah rolled 1 and 1
Sam rolled 1 and 2

Answer 1

xx 1 2 3 4 5 6
-------------
1| 1 2 3 4 5 6
2| 2 4 6 8 10 12
3| 3 6 9 12 15 18
4| 4 8 12 16 20 24
5| 5 10 15 20 25 30
6| 6 12 18 24 30 36

well Leah's number must happen 3 times for every 2 of Sam's

for example
2 happens twice (Sam)
4 happens 3 times (Leah)

is there a four times and a six times?