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Question

A number X is selected at random from 1, 2, 3and 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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Solution

Product of x and y
1×1=1,1×4=4,1×9=9,1×16=16
2×1=2,2×4=8,2×9=18,2*16=32
3×1=3,3×4=12,3×9=27,3×16=48
4×1=4,4×4=16,4×9=36,4×16=63

Probability (less then 25)=11/16

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