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OLEGan [10]
3 years ago
12

ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the probability that i

f you forget your PIN, then you can guess the correct sequence (a) at random and (b) when you recall the first two digits.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

P=(\frac{1}{10})^4=0.0001=0.01\%

(b) when you recall the first two digits.

P=(\frac{1}{10})^2=0.01=1\%

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