If $A$ and $B$ are two independent events, then $P\,(A + B) = $
$P\,(A) + P\,(B) - P\,(A)\,P\,(B)$
$P\,(A) - P\,(B)$
$P\,(A) + P\,(B)$
$P\,(A) + P\,(B) + P\,(A)\,P\,(B)$
Three ships $A, B$ and $C$ sail from England to India. If the ratio of their arriving safely are $2 : 5, 3 : 7$ and $6 : 11$ respectively then the probability of all the ships for arriving safely is
If the odds in favour of an event be $3 : 5$, then the probability of non-occurrence of the event is
If $A$ and $B$ are any two events, then the probability that exactly one of them occur is
If $A$ and $B$ are two mutually exclusive events, then $P\,(A + B) = $
The probabilities that a student passes in Mathematics, Physics and Chemistry are $m, p$ and $c$ respectively. On these subjects, the student has a $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ chance of passing in exactly two. Which of the following relations are true