Question

A number x is selected from numbers 1,2,3,4 and another number y is selected at random from numbers 1,4,9,16 .find the probability the product of x and y is less or equal to 16.

Answer 1

Here is the answer for your question


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 greater than 16 only in the cases
4,4
9,2;9,3;9,4
16,1;16,2;16,3;16,4

That is in 8 cases

Probability= no of favourable outcomes/total number of outcomes

=8/16

=1/2

=0.5


Thank you