Magic Dice Quiz Puzzle


A brother and sister are stuck inside one weekend because the weather is awful. The young boy is getting bored and his elder sister causally produces a set of dice from her toy box and suggests that they play a game. The boy looks at the dice very suspiciously, and with some justification. The faces on the dice are

Blue - 0, 0, 4, 4, 4, 4

Green - 3, 3, 3, 3, 3, 3

Red - 2, 2, 2, 2, 6, 6

Yellow - 1, 1, 1, 5, 5, 5

"They look rigged" he says. "No" she replies, "they are not rigged. Each face on each dice has an equal probability of coming up. Just to prove I'm not cheating, for each game you can choose your die first, so I can't pick the best one."

Should he play?

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Answer at 9.00 on Monday

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