question archive A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 5-key keypad
A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 5-key keypad
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A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 5-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 ______ The probability that the correct code is given on the first try is _______
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Number of possible codes = 625
probability of first try = 1 / 625 = 0.0016
Step-by-step explanation
Solution If repetition of members is allowed, The possible number my way of choosing the first
Second, third and fourth number respectively is 5, 5, 51 5. Therefore, the possible number codes is 5
X5X5X5 = 625 The probability that the correct code is given on the first try is 1/625 = 0:0916
