
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
B
Step-by-step explanation:
rotate 180 --> translate up by 4: (x,y)--> (-x,-y) --> (-x,-y +4)
So here first you have to have same denominators to subtract and add.
to make same denominator you have to multiply something to them which meets up to their lowest common multiple (LCM). so here the easiest thing is multiply each denominator to the other but remember you have to multiply them to the numerator too.
3×9/5×9-2×5/9×5
so it becomes
27/45-10/45
17/45
as you cant bring to its simplest form since the answer in a prime no. leave it like that.