Describe the sample for the indicated experiment: A coin is tossed and a die is thrown.
A coin has two faces: head $(H)$ and tail $(T)$.
A die has six faces that are numbered from $1$ to $6,$ with one number on each face.
Thus, when a coin is tossed and a die is thrown, the sample is given by : $S =\{H1, \,H 2$, $H3, \,H 4,\, H5$, $H6, \,T1, \,T2$, $T3,\, T4,\, T5, \,T6\}$
The probabilities of a problem being solved by two students are $\frac{1}{2},\frac{1}{3}$. Then the probability of the problem being solved is
An experiment consists of recording boy-girl composition of families with $2$ children. What is the sample space if we are interested in the number of girls in the family?
A bag contains $9$ discs of which $4$ are red, $3$ are blue and $2$ are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be blue
A box contains $10$ good articles and $6$ with defects. One article is chosen at random. What is the probability that it is either good or has a defect
The probability of obtaining sum ‘$8$’ in a single throw of two dice