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 : $S =\{H1, \,H 2$, $H3, \,H 4,\, H5$, $H6, \,T1, \,T2$, $T3,\, T4,\, T5, \,T6\}$
Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.
Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than $11$
A coin is tossed. If it shows a tail, we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows head, we throw a die. Find the sample space for this experiment.
A card is drawn from a pack of $52$ cards. If $A =$ card is of diamond, $B =$ card is an ace and $A \cap B = $ card is ace of diamond, then events $A$ and $B$ are
The two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then the probability that neither $A$ nor $B$ occurs is