Question

Members of the video club choose a Personal identification Number (PIN) consisting of two letters (from the 26-letter English alphabet) followed by two numbers. Find the probability of a thief guessing the correct pin on the first try. Write your answer as a fraction or ratio.

Answer 1

1/67600

Explanation:

Possible digits: {0,1,2,3,4,5,6,7,8,9}

Number of possible Personal Identification Number (PIN) is:

Number of possible letters*Number of possibles letters*Number of possible digits*Number of possible digits = 26*26*10*10 = 67600

The probability of a thief guessing the correct pin on the first try is: 1/67600