Question

A number is search at random from the number 1 2 3 and 4 another number Y is search at random form the number 1 4 9 and 16 find the probability of a product of X and Y is less than 16

Answer 1

Answer:

If we consider two random events, then the set of (X, Y) will be obtained as: {(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)}

Hence, n = 16

Now, E = {XY: XY<16}

So, E = {(1,1) (1,4), (1,9), (2,1), (2,4), (3,1), (3,4), (4,1)}

So, n(E) = 8

So, P(E) = n(E) /n = 8/16 =1/2