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Question

A number X is selected at random from the number 1 ,2,3,4. Another number Y selected at random from numbers 1,4,9, 16. Find the probability that the product of X and Y is 16.

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Solution

x is selected from 1,2,3 and 4
1,2,3,4
y is selected from 1,4,9 and 16
Let A {1,4,9,16,2,8,18,32,3,12,27,48,36,64} which consists
of elements that are product of x and y
straight P left parenthesis space product space of space straight x space and space straight y space is space less space than space 16 right parenthesis space equals space fraction numerator Number space of space outcomes space less space than space 16 over denominator Total space number space of space outcomes end fraction space equals space 7 over 14 equals 1 half

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