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Two dice are throw at the same time an...

Two dice are throw at the same time and the product of the numbers appearing on them is noted. Find the probability that the product is less than 9.

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Total number of all possible outcomes when two dice thrown together T(E) = 36.
Product of the number on both dice is less than 9 so favourable outcomes are (1,1) (1,2), (1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(4,1),(4,2),(5,1),(6,1).
`therefore " "F(E) = 16`
`rArr" "P(E)=(F(E))/(T(E)) = (16)/(36) = (4)/(9)`
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