Question

A thief steals an ATM card and randomly must guess the correct five- digit pin code from a 6- key keypad. The number of possible codes is? The probability that the correct code is given on the first try is?

Answer 1

from a 6 digit key pad we can technically make

6*6*6*6*6 codes of 5 digit as all the 5 numbers of password can have 6 choices

Hence  The number of possible codes is = 6^5 =7776

So there are 7776 possible number of pin codes

Now  The probability that the correct code is given on the first try is =1/7776 = 0.0001286008
As there is only 1 possible correct ans outof 7776 possible combinations hence 0.0001286008 is the  probability that the correct code is given on the first try.

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