If $A$ and $B$ are any two events, then $P(A \cup B) = $

  • A

    $P(A) + P(B)$

  • B

    $P(A) + P(B) + P(A \cap B)$

  • C

    $P(A) + P(B) - P(A \cap B)$

  • D

    $P(A)\,\,.\,\,P(B)$

Similar Questions

The chances to fail in Physics are $20\%$ and the chances to fail in Mathematics are $10\%$. What are the chances to fail in at least one subject ............ $\%$

If $A$ and $B$ are any two events, then the probability that exactly one of them occur is

  • [IIT 1984]

Fill in the blanks in following table :

$P(A)$ $P(B)$ $P(A \cap B)$ $P (A \cup B)$
$0.5$ $0.35$ .........  $0.7$

The probability that at least one of $A$ and $B$ occurs is $0.6$. If $A$ and $B$ occur simultaneously with probability $0.3$, then $P(A') + P(B') = $

The probability of happening at least one of the events $A$ and $B$ is $0.6$. If the events $A$ and $B$ happens simultaneously with the probability $0.2$, then $P\,(\bar A) + P\,(\bar B) = $

  • [IIT 1987]