A number x is selected at random from the numbers 1,2,3 and 4 Another number y is selected at - Maths - Probability

Question

A number x is selected at random from the numbers 1,2,3 and 4
Another number y is selected at random from the 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

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

Let S be the sample space
S = 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; 4,16Here first member of each ordered pair shows the number selected from x and second member shows the number selected from y
nS = 16Let E be the event that product selected is less than 16
E = 1,1;1,4; 1,9;2,1; 2,4;3,1; 3,4; 4,1nE = 8PE = nEnS = 816 = 12
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A number x is selected at random from the numbers 1,2,3 and 4. Another number y is selected at random from the 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