Question

Which two events are independent?

Answer 1

Answer: Choice A)
A and X are independent events

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Step-by-step explanation:

If two events A and B are independent, then
P(A and B) = P(A)*P(B)
where the P stands for probability

In this case, X takes place of B, so
P(A and X) = P(A)*P(X)

There are 15 items that are in the "A" row and "X" column. This is out of 100 total. So
P(A and X) = 15/100 = 0.15

While
P(A) = 30/100 = 0.3
since there are 30 total for A out of 100 total overall
and
P(X) = 50/100 = 0.5
for similar reasons

So
P(A)*P(X) = 0.3*0.5 = 0.15

The fact we got the same result means that P(A and X) = P(A)*P(X) is a true equation. Therefore, events A and X are independent events.

Answer 2

a and x are the once to be more independt then the rest bc of the way there layed out