A briefcase has a three-digit lock code that does not include zero as a digit. What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?

Question

Polo

Mathematics

8 January, 18:08

A briefcase has a three-digit lock code that does not include zero as a digit. What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?

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Solomon Crosby · Answer 1

Considering that it is allowed to repeat the digits in the three-digit code, we have,

10 x 10 x 10 ways

which is equal to 1000 ways.

For the scenario that only even numbers without repetition can be included, we have,

5 x 3 x 1 ways

which is equal to 15 ways.

The probability is therefore 15/1000 or 3/200.