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A die is weighted such that the probability of rolling the face numbered  is proportional to . The die is rolled twice, yielding the numbers  and . The probability that  is , then the value of  is, where [.] represents the greatest integer function



Question ID - 153494 | SaraNextGen Top Answer

A die is weighted such that the probability of rolling the face numbered  is proportional to . The die is rolled twice, yielding the numbers  and . The probability that  is , then the value of  is, where [.] represents the greatest integer function

1 Answer
127 votes
Answer Key / Explanation : (5) -

(5)

Given

 Total

 and so on

Let three events  are defined as

Bu symmetry, . Also

Since

Now

127 votes


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