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Question
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.
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
P(product of x and y is less than 16) = `"Number of outcomes less than16"/"Total number of outcomes"`
`=7/14`
`=1/2`
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