A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9. What is the probability that the product xy of the two numbers will be less than 9?

Explanation

Number `x` can be selected in three ways and corresponding to each such way there are three ways of selecting number `y`. Therefore, two numbers can be selected in `9` ways as listed:


`(1,1),(1,4),(1,9),(2,1),(2,4),(2,9),(3,1),(3,4),(3,9)`


so,total number of elementary events`=9`


The product `xy` will be less than `9`,if `x` and `y` are chosen in one of the following ways:


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