A thief steals an ATM card and must randomly guess the correct five ​-digit pin code from a 4 ​-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first​ try? The number of possible codes is nothing . ​(Type an integer or fraction. Simplify your​ answer.) The probability that the correct code is given on the first try is nothing . ​(Type an integer or fraction. Simplify your​ answer.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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A thief steals an ATM card and must randomly guess the correct

five
​-digit

pin code from a

4
​-key
keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first​ try?
The number of possible codes is
nothing
.
​(Type an integer or fraction. Simplify your​ answer.)
The probability that the correct code is given on the first try is
nothing
.
​(Type an integer or fraction. Simplify your​ answer.)
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