The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the events are
$\frac{1}{9},\,\frac{1}{3}$
$\frac{1}{{16}},\,\frac{1}{4}$
$\frac{1}{4},\,\frac{1}{2}$
None of these
If $A$ and $B$ are two events, then the probability of the event that at most one of $A, B$ occurs, is
If $A$ and $B$ are any two events, then $P(A \cup B) = $
Given $P(A)=\frac{3}{5}$ and $P(B)=\frac{1}{5}$. Find $P(A $ or $B),$ if $A$ and $B$ are mutually exclusive events.
Two aeroplanes $I$ and $II$ bomb a target in succession. The probabilities of $l$ and $II$ scoring a hit correctlyare $0.3$ and $0.2,$ respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
An unbiased die is thrown twice. Let the event $A$ be 'odd number on the first throw' and $B$ the event 'odd number on the second throw '. Check the independence of the events $A$ and $B$.