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 the product of'x' and 'y is less than 16.
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Step-by-step explanation:
➡️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
➡️Probability = 8/16=1/2
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