When a certain biased die is rolled, a particular face occurs with probability 
and its opposite face occurs with probability 
. All other faces occur with probability 
. Note that opposite faces sum to 7 in any die. If 
, and the probability of obtaining total sum 
, when such a die is rolled twice, is 
, then the value of 
is:
Text Solution
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Probability of obtaining total sum 
probability of getting opposite faces.
Probability of getting opposite faces
(given)
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