Question

A keypad has only the letters A−D. What is the total number of possible outcomes if the code has 3 letters?

Answer 1

64

Explanation:

There are 4 options to choose from:

• A
• B
• C
• D

Each has a 1/4 chance of being picked.

For 3 times in a row, we would multiply the chance of being picked for one option, by whatever the other option's chance is.

As they all have the same chance, and it is 3 times in a row, we would do the following:

1/4 x 1/4 x 1/4

This is:

1/16 x 1/4

Which is:

1/64

Therefore, any possible combination has a 1/64 chance of occurring, meaning that there are 64 possible combinations that could be created.

Answer 2

9

Explanation:

Because 3 letter to find that just do 3 times 3 which = 9

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