Two dice are rolled one after the other.The probability that the number on the first dice is smaller than that of the number on second dice is-

Explanation

Let `A_i`=event of getting a number i on first die


`B_i`=event of getting more than i on second die


The required prbability


`=P(A_1 cap B_1)+P(A_2 cap B_2)+P(A_3 cap B_3)+P(A_4 cap B_4)+p(A_5 cap B_5)`


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