Mark the correct alternative in each of the following:
If P (A ∪ B) = 0.8 and P (A ∩ B) = 0.3, then
For events A and B, addition theorem of probability →
P(A⋃B) = P(A) + P(B) – P(A⋂B) → (1)
Also,
→ (2)
→ (3)
Using equation (1)
0.8 = P(A) + P(B) – 0.3
P(A) + P(B) = 1.1
1 – P() + 1 – P(
) = 1.1 → From (2) & (3)
2 – {P() + P(
)} = 1.1
P() + P(
) = 2 – 1.1
P() + P(
) = 0.9