If A and B are two events, then what is the probability of occurrence of either A or B?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

P (A) + P (B)

P (A ∪ B) = P (A) + P (B)

P (A) P (B)

P (A B)

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We must determine the likelihood of either A or B occurring. It means that both events are mutually exclusive. According to the addition theorem, if A and B are caused by two events, then the probability of A union B equals the probability of A plus the probability of B minus the probability of A intersection B. Given that events A and B are mutually exclusive, the probability of A intersection B is E, i.e.

P A ∪ B = {E}

. As a result, the equation is

P A ∪ B = P (A) + P B

. So, if A and B are two events, then A union B refers to the occurrence of either A or B or both, which means all the equally likely chances for A union B to occur.
Hence, the correct option is 2.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th