One card is drawn randomly from a pack of $52$ cards, then the probability that it is a king or spade is
$\frac{1}{{26}}$
$\frac{3}{{26}}$
$\frac{4}{{13}}$
$\frac{3}{{13}}$
If $A$ and $B$ are two events of a random experiment, $P\,(A) = 0.25$, $P\,(B) = 0.5$ and $P\,(A \cap B) = 0.15,$ then $P\,(A \cap \bar B) = $
If odds against solving a question by three students are $2 : 1 , 5:2$ and $5:3$ respectively, then probability that the question is solved only by one student is
Given two independent events $A$ and $B$ such that $P(A) $ $=0.3, \,P(B)=0.6$ Find $P(A$ and $B)$.
Two dice are thrown simultaneously. The probability that sum is odd or less than $7$ or both, is
The probability that $A$ speaks truth is $\frac{4}{5}$, while this probability for $B$ is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact