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1.8. Problem. (Sections 2.2-2.4) Three fair, six-sided dice colored red, green and blue are rolled. Calculate...

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Basic Math

1.8. Problem. (Sections 2.2-2.4) Three fair, six-sided dicecolored red, green and blue are rolled. Calculate each of thefollowing probabilities:

(a) The probability all three dice show the same face(“triples”).

(b) The probability that the red die shows a larger number thanthe green die.

(c) The probability that the red die shows a larger number thanthe green die and the green die shows a larger number than the bluedie.

(d) The probability that the sum of the pips on all three diceis exactly 10.

(e) The probability that the sum of the pips on all three diceis less than 10.

(f) The probability that the sum of the pips on all three diceis greater than 10.

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