2. Simplify the following probabilities, leaving them as fractions in simplest form. 6! 9! 5! 6! 5!4! (a 3!3! 5!4! 4!2! 2!2! 9! (b) 2! 8! 2 points 3!3! 5! Clearly display all the steps of your working. 3. Of the 3-digit numbers formed from the digits 1, 2, 3, 4, and 5 without repeats, I pick one at random. Determine the following probabilities ... leaving them as fractions in simplest form. (a) Prob (my number is even). (b) Prob (my number is > 350). (c) Prob (my number has no even digits). 5 points (d) Prob (my number has exactly one even digit). (e) Prob (my number begins or ends with an even digit). Leave your probabilities as fractions in simplest form. 4. Of the 4-digit numbers using the digits 1 to 9 without repeats, I pick one at random. Determine the following probabilities. (a) Prob (my number is 2 3500). (b) Prob (my number begins or ends with an even digit). 4 points (c) Prob (my number has exactly 2 even digits and is an even number). Leave your probabilities with factorials in them. continued