A die is thrown, find the probability of following events: A number greater than or equal to $3$ will appear.
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $B$ be the event of the occurrence of a number greater than or equal to $3$ . Accordingly,
$B =\{3,4,5,6\}$
$\therefore P(B)=\frac{\text { Number of outcomes favourable to } B }{\text { Total number of possible outcomes }}=\frac{n(B)}{n(S)}=\frac{4}{6}=\frac{2}{3}$
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
A card is selected from a pack of $52$ cards. Calculate the probability that the card is black card.
The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number ', $B$ be the event 'getting an odd number '. Write the sets representing the events $A$ or $B$.
A man and a woman appear in an interview for two vacancies in the same post. The probability of man's selection is $1/4$ and that of the woman's selection is $1/3$. What is the probability that none of them will be selected