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+1 vote
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in Mathematics by (30.6k points)

When a certain biased die is rolled, a particular face occurs with probability 1/6 - x and its opposite face occurs with probability 1/6 + x. All other faces occur with probability 1/6.Note that opposite faces sum to 7 in any die. If 0 < x < 1/6,and the probability of obtaining total sum = 7,when such a die is rolled twice, is 13/96 , then the value of x is :

(1) 1/16

(2) 1/8

(3) 1/9

(4) 1/12

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1 Answer

+2 votes
by (30.7k points)

Option : (2) 1/8

Probability of obtaining total sum 7 = probability of getting opposite faces. 

Probability of getting opposite faces

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