a number of X is selected at a random from the numbers 1,2,3,4 . another number y is selected at random from the number 1,4,9 and 16 . find the probability that product of X and y is less then 16
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Total no. of ways of choosing x and y= 4x4 =16
For y=1, all four values of x are compatible.
For y=4, All values of x except 4 are compatible.
For y=9,Only x=1 is compatible.
For y=16,no value if x is compatible.
Thus total compatible values=4+3+1=8
So probability=8/16=1/2
For y=1, all four values of x are compatible.
For y=4, All values of x except 4 are compatible.
For y=9,Only x=1 is compatible.
For y=16,no value if x is compatible.
Thus total compatible values=4+3+1=8
So probability=8/16=1/2
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