Question

Analyze the table below and answer the question that follows.

C
D
E
Total
A
0.15
0.2
0.15
0.5
B
0.05
0.3
0.15
0.5
Total
0.2
0.5
0.3
1

Which of the following can be determined from the table above?

A.
Events D and A are independent.
B.
Events D and B are independent.
C.
Events A and B are independent.
D.
Events E and B are independent.

Answer 1

Answer a is independent

Answer 2

The correct option is C.

Explanation:

The given table is

A B Total

C 0.15 0.05 0.2

D 0.2 0.3 0.5

E 0.15 0.15 0.3

Total 0.5 0.5 1

Two event are called independent if the probability of one event does not affect the probability of second event.

From the given table it is clear that the probability of A does not affect the probability of B.

Therefore the events A and B are independent. Option C is correct.