Given P (A) = 0.37, P (B) 0.38, and P (A or B) 0.27, are events A and B mutually exclusive? Yes, they are mutually exclusive No, they are not mutually exclusive

No, they are not mutually exclusive.

Step-by-step explanation:

Two events are called mutually exclusive they are independent to each other.

Also, If A and B are any two events,

Then they are called mutually exclusive,

If P (A ∪ B) = P (A) + P (B)

Or P (A or B) = P (A) + P (B)

Here, P (A) = 0.37, P (B) = 0.38 and P (A or B) = 0.27

Since,

0.27 ≠ 0.37 + 0.38

⇒ P (A or B) ≠ P (A) + P (B)

Hence, A and B are not mutually exclusive.