Question

A code consists of a two digit number from 00 to 49 followed by a letter of the alphabet. What is the probability the code is 14z?

Answer 1

The probability the code is 14z is
`(1)/(1300)` .

Explanation:

Probability is calculated using the following fraction:

`(number of desired outcomes)/(total number of outcomes)`

In this case, we are looking at three independent, combined events. This means that each pick of a number or letter does not depend on the previous event, but that the probability of each is linked, so we must multiply each probability together to get the total probability of the compete code. Since the numbers are 00 to 49, there are five total outcomes for the first number (0, 1, 2, 3, 4) and ten total outcomes for the second number (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total outcomes for the letter selection would be 26, since there are 26 letters in the alphabet. Now, we multiply each probability together:

`(1)/(5)*(1)/(10)*(1)/(26)=(1)/(1300)`