My combination bicycle lock has three wheels, each of which has the numbers 0 through 16. exactly one combination of numbers (in order) on the wheels (16-7-4, e. g.) will open the lock.
(a) how many possible combinations of numbers are there on my bicycle lock?
combinations
(b) suppose that i have forgotten my combination. at random i try 1-2-3. what is the probability that the lock will open with this combination? (enter your probability as a fraction.)
(c) out of frustration i try at random 25 different combinations. what is the probability that 1 of these 25 efforts will open the lock? (enter your probability as a fraction.)