JEE Main 27-Aug-2021 Shift 1 Solved Paper

When a certain biased die is rolled, a particular face occurs with probability

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−x and its opposite face occurs with probability

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+x. All other faces occur with probability

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. Note that opposite faces sum to 7 in any die. If 0<x<

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, and the probability ofobtaining total sum =7, when such a die is rolled twice is 13/96, then the value of x is