Question

If you roll a dice 100 times how many times would you expect to roll a product that is a multiple of 5

Answer 1

If you're rolling a single cube, then ...

-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.


If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)
-- The probability of rolling one of those is
                                                             (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.