The probability that you have written the first 2 digits of your phone number is 1/90
The number is given as:
0 - 9 i.e 10 digits
The selection is without replacement
This means that the first selection can be any of the 10 digits, while the second selection can be any of the remaining 9 digits
So, the number of selections is
Selection = 10 * 9
Evaluate
Selection = 90
The probability is represented as:
P = 1/Selection
This gives
P = 1/90
Hence, the probability that you have written the first 2 digits of your phone number is 1/90
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