Let $A$ and $B$ be two events such that $P\,(A) = 0.3$ and $P\,(A \cup B) = 0.8$. If $A$ and $B$ are independent events, then $P(B) = $
$\frac{5}{6}$
$\frac{5}{7}$
$\frac{3}{5}$
$\frac{2}{5}$
If $A$ and $B$ are two mutually exclusive events, then $P\,(A + B) = $
If $\mathrm{A}$ and $\mathrm{B}$ are two events such that $\mathrm{P}(\mathrm{A})=\frac{1}{4}, \mathrm{P}(\mathrm{B})=\frac{1}{2}$ and $\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{8}$ find $\mathrm{P}$ $($ not $\mathrm{A}$ and not $\mathrm{B})$
If $A$ and $B$ are any two events, then $P(\bar A \cap B) = $
One card is drawn from a pack of $52$ cards. The probability that it is a queen or heart is
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') = $