An experiment consists of rolling a die and then tossing a coin if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
A die has six faces that are numbered from $1$ to $6,$ with one each face. Among these number, $2,\,4,$ and $6$ are even numbers, while $1,\,3,$ and $5$ are odd numbers.
A coin has two faces: head $(H)$ and tail $(T)$.
Hence, the sample space of this experiment is given by:
$S =\{2 H ,\, 2 T ,\, 4 H$ , $4 T\, , 6 H ,\, 6 T$ , $1 HH ,\, 1 HT\, , 1 TH$ , $1 TT ,\, 3 HH ,\, 3 HT$ , $3 TH ,\, 3 TT ,\, 5 HH$ , $5 HT,\,5 TH , 5 TT \}$
Three coins are tossed together, then the probability of getting at least one head is
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 not blue,
Two dice are tossed. The probability that the total score is a prime number is
A problem of mathematics is given to three students whose chances of solving the problem are $\frac{{1}}{{3}} , \frac{{1}}{{4}}$ and $\frac{{1}}{{5}}$ respectively. The probability that the question will be solved is
A card is selected from a pack of $52$ cards. How many points are there in the sample space?