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

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8