1.

Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is 12.

Answer»

Number of all possible outcomes = 36

Let E be the event of getting all those numbers whose product is 12.

These number are (2,6),(3,4),(4,3) and (6,2)

Therefore, p(getting all those numbers whose product is 12) = P(E) = \(\frac{number\,of\,outcomes\,favorable\,to\,E}{number\,of\,all\,possible\,outcomes}\) = \(\frac{4}{36}\) = \(\frac{1}{9}\)

Thus, the probability of getting all those numbers whose product is 12 is \(\frac{1}{9}\).



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