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For a four digit pin number:

You receive the first PIN number, let's say WXYZ.

The probability that the next pin number you receive would match (assuming they are randomly provided), is:

For each digit, they are 10 possibilities [0 1 2 3 4 5 6 7 8 8]. The probability that one specific number is chosen is thus of 1/10.

For the are four digits, hence four independent selection of one digit, each with a probability of 1/10.

The probability of an event, combination of independent events, is the product of the the probability of the independent event.

Thus, the probability that the next pin number you receive would match (assuming they are randomly provided), is:

1/10*1/10*1/10*1/10 or

1/10^4 or

0.0001 or

1 out 10000

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