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A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16. |
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Answer» Given, x = {1, 2, 3, 4} ⇒ n(x) = 4 y = {1, 4, 9, 16} n(y) = 4 Total number of possible products = 4 × 4 = 16 Products x.y which are less than 16 are {1 × 1, 1 × 4, 1 × 9, 2 × 1, 2 × 4, 3 × 1, 3 × 4, 4 × 1} n (x.y) = 8 ∴ Required probability = 8/16 = 1/2. |
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