Three balls are drawn randomly from a box containing balls with the twenty-six letters of the alphabet on them. Determine the probability of selecting C and F.

Answer 1

There are 26 balls in total, so the probability of selecting C as the first ball is 1/26.
After selecting the first ball, there are 25 remaining balls in the box, so the probability of selecting F as the second ball is 1/25.
Finally, after selecting the first two balls, there are 24 remaining balls in the box, so the probability of selecting any ball as the third ball is 1/24.
So the probability of selecting C and F is (1/26) * (1/25) * (1/24) = 1/15,600.