Work out addition rule of probability instantly with clear inputs, formula shown and shareable results.
The general addition rule is P(A ∪ B) = P(A) + P(B) − P(A ∩ B). Subtracting the intersection removes the double counting of outcomes belonging to both events.
Addition rule
P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
The union is 0.7, exactly one occurs with probability 0.5, and neither with 0.3.
No. P(A)P(B) = 0.2 happens to equal P(both) here, so in this case they are independent.