Instructions

Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains five cards bearing numbers 1, 2, 3, 4, 5; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let $$x _i$$ be the number on the card drawn from the $$i^{th}$$ box, i = 1,2,3.

Question 56

The probability that $$x_1, x_2, x_3$$ are in an arithmetic progression, is

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The probability that $$x_1, x_2, x_3$$ are in an arithmetic progression, is

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