For an event, odds against is $6 : 5$. The probability that event does not occur, is
$\frac{5}{6}$
$\frac{6}{{11}}$
$\frac{5}{{11}}$
$\frac{1}{6}$
Let ${E_1},{E_2},{E_3}$ be three arbitrary events of a sample space $S$. Consider the following statements which of the following statements are correct
Let $A$ and $B$ be events for which $P(A) = x$, $P(B) = y,$$P(A \cap B) = z,$ then $P(\bar A \cap B)$ equals
The probability that a student will pass the final examination in both English and Hindi is $0.5$ and the probability of passing neither is $0.1$. If the probability of passing the English examination is $0.75$, what is the probability of passing the Hindi examination?
If $A$ and $B$ are any two events, then $P(A \cup B) = $
Two balls are drawn at random with replacement from a box containing $10$ black and $8$ red balls. Find the probability that both balls are red.