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

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

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Answer. [4/9]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total cases in throwing two dice = 36
Product less than 9 cases = (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)
Number of favourable cases = 16
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting product less than 9 = \frac{16}{36}= \frac{4}{9}

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