Question

A thief steals an ATM card and must randomly guess the correct five​-digit pin code from...

A thief steals an ATM card and must randomly guess the correct five​-digit pin code from a 6​-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first​ try?

1a. The number of possible codes is:

1b. The probability that the correct code is given on the first try is:

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Answer #1

1a. Number of options for each digit of pin = 6

Number of digits in pin = 5

Number of possible codes = 65 = 7776

1b. P(the correct code is given on the first try) = 1/Number of codes possible

= 1/7776

= 0.00013

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