1. Tardigrade
  2. Question
  3. Mathematics
  4. Given that A and B are two events such that P(B)=(3/5) P(A / B)=(1/2) and P(A ∪ B)=(4/5) then P(A)=

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Given that $A$ and $B$ are two events such that $P(B)=\frac{3}{5} P(A / B)=\frac{1}{2}$ and $P(A \cup B)=\frac{4}{5}$ then $P(A)=$

KCETKCET 2021Probability - Part 2

Solution:

$\frac{1}{2}= P \frac{( A \cap B )}{\frac{3}{5}}$
$\Rightarrow P ( A \cap B )=\frac{3}{10}$
$\frac{4}{5}=\frac{3}{5}+ P ( A )-\frac{3}{10}$
$\Rightarrow P ( A )=\frac{1}{2}$