Question

Sum of two positive numbers is 10.The probability that their product is greater than 20 is

Answer 1

Given: Sum of two positive number is 10

1+9=10, 1×9=9

2+8=10, 2×8=16

3+7=10, 3×7=21

4+6=10, 4×6=24

5+5=10, 5×5=25

sample space S ={9,16,21,24,25}

let A be the event of getting more than 20

P (A)=N (A)/N (S)

=3/5