Question

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated. What is the probability of an access code “1234”?

Answer 1

desired outcomes/total possible

find total possible
10 digits
4 of them
10^4=10000

1 of themg enerates 1234

1/10000 is the probablity

Answer 2

Hence, the probability of an access code “1234”=
`(1)/(10000)`

Explanation:

" The probability of an event is defined as the ratio of total number of favourable outcomes to the total number of possible outcomes ".

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated.

The total number of outcomes possible are 10×10×10×10=10000

since the first place any of the 10 digits are possible, similarly for the second, third and fourth place.

Also each code is a unique representation in itself.

Hence the code "1234" is unique.

Hence, the probability of an access code “1234”=
`(1)/(10000)`