In: Math
1.8. Problem. (Sections 2.2-2.4) Three fair, six-sided dice colored red, green and blue are rolled. Calculate each of the following probabilities:
(a) The probability all three dice show the same face (“triples”).
(b) The probability that the red die shows a larger number than the green die.
(c) The probability that the red die shows a larger number than the green die and the green die shows a larger number than the blue die.
(d) The probability that the sum of the pips on all three dice is exactly 10.
(e) The probability that the sum of the pips on all three dice is less than 10.
(f) The probability that the sum of the pips on all three dice is greater than 10.