I'm having an argument with a colleague about the probability of a 4 digit number. The assumption is that the number is randomly and independently created.
Assume the probability of generating the number 4109.
Now, my colleague reckons that it's a simple P(4109) = 1/10 * 1/10 * 1/10 * 1/10. (a bit like simply tossing a coin).
But I'm not interested in the probability of generating the numbers 0149, 9014, 4910 etc etc.
Obviously the probability of that specific sequence, 4109 is a probability found by calculating the permutation, not simple combination....
Please confirm my believe or point me to some proper material to support this?