Question: A random digit generator on a computer is activated three times consecutively to simulate a random three-digit number. (a) How many random three-digit numbers are

A random digit generator on a computer is activated three times consecutively to simulate a random three-digit number.

(a) How many random three-digit numbers are possible?

(b) How many numbers will begin with the digit 2?

(c) How many numbers will end with the digit 9?

(d) How many numbers will begin with the digit 2 and end with the digit 9?

(e) What is the probability that a randomly formed number ends with 9 given that it begins with a 2?

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