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.[CBSE 2016]
Possible outcomes =
{(1, 1) (1, 4) (1, 9) (1, 16)
(2, 1) (2, 4) (2, 9) (2, 16)
(3, 1) (3, 4) (3, 9) (3, 16)
(4, 1) (4, 4) (4, 9) (4, 16)}
Favorable outcomes i.e. product less than 16
{ (1, 1) (1, 4) (1, 9) (2, 1) (2, 4) (3, 1) (3, 4) (4, 1)}
Let E be the event getting the product less than 16 then,


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[CBSE 2016]