Consider two events such that p(a)=1/6,p(b)=3/5, and p(anb)=1/10. are events a and b independent events

We are given

P(A∩B)=

Two events A and B are independent when

P(A∩B)=

so, we can plug values and check it

now, we can simplify right side

we can see that

both sides are equal

so, events A and B are independent .............Answer

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above