‹ Back to the paper
Solve the following.
If events A and B are independent, such that P(A) = 3/5, P(B) = 2/3, find P(A ∪ B).
If events $A$ and $B$ are independent, such that $P(A) = \frac{3}{5}$, $P(B) = \frac{2}{3}$, find $P(A \cup B)$.
Answer
Answer
For independent events $P(A\cap B) = P(A)P(B) = \frac{3}{5}\cdot\frac{2}{3} = \frac{2}{5}$.
$P(A\cup B) = P(A)+P(B)-P(A\cap B) = \frac{3}{5}+\frac{2}{3}-\frac{2}{5} = \frac{9+10-6}{15}$
Hence $P(A\cup B) = \frac{13}{15}$.
Final answer: $\frac{13}{15}$