A dice is weighted such that the probability of rolling the face numbered n is proportional to n2 (n = 1, 2, 3, 4, 5, 6). The dice is rolled twice, yielding the numbers a and b. The probability that a < b is p then the value of [2/p] (where [ . ] represents greatest integer function) is _______.
So, total probability = 91 K
Therefore, and so on.
Let three events A, B and C be defined as
By symmetry, P(A) = P(C)
Also, P(A) + P(B) + P(C) = 1
Since
Now, 2P(A) + P(B) = 1
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A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.
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