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A number x is selected at ramdam from the number 1,2,3and 4.another number

A number x is selected at ramdam from the number 1,2,3and 4.another number y is selected at ramdom from the number 1,4,9,16.find the probability that of x and y is less than 16

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A)
There can be on the whole 16 ways in which the numbers can be chosen
 
1,1 ; 1,2 ; 1,3 ; 1,4
4,1;4,2;4,3;4,4
9,1;9,2;9,3;9,4
16,1;16,2;16,3;16,4
 
Total possible outcomes 16
 
The product will be less than 16 only in the cases
1,1:1.2;1,31,4
4,1;4,2;4,3
9,1
 
That is in 8 cases
 
Probability= no of favourable outcomes/total number of outcomes
 
=8/16
 
=1/2
 
=0.5
 
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