The probabilities of a student getting $I, II$ and $III$ division in an examination are respectively $\frac{1}{{10}},\,\frac{3}{5}$ and $\frac{1}{4}.$ The probability that the student fails in the examination is
$\frac{{197}}{{200}}$
$\frac{{27}}{{100}}$
$\frac{{83}}{{100}}$
None of these
$A$ and $B$ are two independent events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{1}{3}$. Then $P$ (neither $A$ nor $B$) is equal to
From a pack of $52$ cards two are drawn with replacement. The probability, that the first is a diamond and the second is a king, is
A determinant is chosen at random. The set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that value of the determinant chosen is positive, is
A die is thrown, find the probability of following events:A prime number will appear,
Describe the sample space for the indicated experiment: A coin is tossed three times.