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
Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.
The corners of regular tetrahedrons are numbered $1, 2, 3, 4.$ Three tetrahedrons are tossed. The probability that the sum of upward corners will be $5$ is
A determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that the determinant chosen is non-zero is
Three coins are tossed once. Find the probability of getting exactly $2$ tails.
Suppose $3$ bulbs are selected at random from a lot. Each bulb is tested and classified as defective $(D)$ or non-defective $(N)$. Write the sample space of this experiment?