suppose I am 18-60 yrs old, what is the P of the last 2 digits of a 6 digit running numbers match my birth yr,

Question

the 6 digit running number includes zero

Answer 1

43 chances in 100.

If the last two digits of an arbitrary number were between 47 and 89 inclusive, your birth year (however old you are but between 18 and 60) would be bound to match up. If the last two digits were between 00 and 46 or 90 and 99 your birth year would not match up.

Hence 43 match up and 57 do not.

Answer 2

Hmm... you mean what is the probability the last two digits match your age? 1/100

Answer 3

The probability is 1/100 or 0.01. The rest is window dressing to try to induce confusion.