Question

In the following Venn diagram circles A and B represent two events:
The probability of the union of shaded region will be

• A. P(A) + P(B) - 2P(A $\cap$ B)
• B. P(A) + P(B) - P(A $\cap$ B)
• C. P(A) + P(B)
• D. 2P(A) +2 P(B) - P(A $\cap$ B)

Answer 1

Answer: (B)

From the given Venn diagram the shadow region is n(A) + n(B) - n(A $\cap$ B).
Probability of the union of the shaded region is P(A) + P(B) - P(A $\cap$ B)