A combination lock has 3 wheels, each numbered from 0 to 9 guess the combination by writing five different numbers from 0 to 999 on a piece of paper. Find the probability that the correct combination is written on the paper.

Step-by-step explanation:

Given that the probability of a written event is:

P =

Guessing the combination by writing 5 different numbers, from 0 to 999, on a piece of paper. There are therefore 5 different possible outcomes to this.

However, there is only one correct combination written on the paper which is actually the only favorable outcome.

Probability of event = =

Therefore, the probability that the correct combination is written on the paper is .

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

step-by-step explanation: