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

$\text{Probability : }P=\dfrac{\binom{7}{4}}{\binom{28}{4}}=\dfrac{\frac{7\cdot6\cdot5}{3\cdot2}}{\frac{28\cdot27\cdot26\cdot25}{4\cdot3\cdot2}}=\boxed{\frac{1}{585}}$