Question

FROM the numbers 1, 2, 3 , one number x is selected and from the numbers 1, 4, 9 second number y is selected . Find the probability that the (a) product of two numbers is less than 9. (b) product of two numbers is more than 13(c) sum of two numbers is 12

Answer 1

Answer:

a) 5\9

b) 2\9

c) 1\9

Step-by-step explanation:

No.of events=9

Events= x =1,2,3

y =149

a) xy is less than 9.

No.of favourable outcomes=6

Favourable outcomes= xy =

1×4=4,1×1=1,2×1=2,2×4=8,3×1=3.

Probability=5\9

b)xy is more than 13.

No.of favourable outcomes=2

Favourable outcomes= 2×9=18,3×9=27.

Probability=2\9

c) x+y=12.

Favourable outcomes=3+9=12

No.of favourable outcomes= 1

Probability=1\9