What is the probability that the product xy less than 9, Mathematics

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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?                           (Ans: 5/9 )

Ans : 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 below:

(1,1), (1,4), (2,1), (2,4), (3,1)

∴ Favourable number of elementary events = 5

Hence, required probability = 5/9

 

 


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