Question

1(a) Three conventional dice are rolled. What is the probability that the total, i.e. the sum of the three numbers which face up, equals 9 f01 (b) For the three dice in the previous part of this question: (i) what is the most likely total, and (ii) with what probability does the most. likely total occur?|10 (c)ds it possible to design two unconventional six-sided dice such that when both are thrown together the outcomes 2, 3,..., 12 occur with the same probabilities as for two ordinary dice thrown together? Explain. Hint: consider the expansion (z+++ + r + 2) +2r+3+ 4r +5 + 6z7 + 5 +4 +3r 10+2r (r+2r+2r+) (r + r' + x + z + r + ) . +2

Answer 1

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