Question

A standard set of dominoes contains 28 tiles, with each tile having two sides of dots from 0 to 6. Of these tiles, 7 have the same number of dots on each side. If four players each randomly choose a tile, without replacement, what is the probability that each chooses a tile with the same number of dots on each side?

Answer 1

first person has a chance of 7/28 or 1/4

The second = 6/27 or 2/9

The third = 5/26

And the fourth = 4/25

multiplying these together you get 4 / 2340=

1/585

or 0.17%