Forming Sample Space, Desirable and Possible Outcomes

Q.
David spins the spinner once. What is the sample space $\left(\text{S}\right)$ for this experiment?​​​​​​​

1. $\text{S = {1, 3, 5}}$
2. $\text{S = {2, 4}}$
3. $\text{S = {1, 2, 3, 4, 5}}$
4. None of the above

Q. A die is rolled and then a coin is tossed. What is the sample space for this experiment?

1. $S=\{1,2,3,4,5,6,H,T\}$
2. $S=\{1H,2H,3H,4H,5H,6H\}$
3. $S=\{1T,2T,3T,4T,5T,6T\}$
4. $S=\{1H,2H,3H,4H,5H,6H,$
   $1T,2T,3T,4T,5T,6T\}$

Q. Which of the following situation is represented by below tree diagram?

1. 3 shirt options, 6 pants options, and 12 shoe options

2. 3 shirt options, 2 pants options, and 2 shoe options

3. 2 shirt options, 3 pants options, and 1 shoe option

   
   

Q. A bag contains $10$ marbles of different colours. It contains $3$ marbles of Red color, $2$ marbles of Blue color and $5$ marbles of Green color. If Sam wishes to pick a marble from the bag, then form the sample space.

1. $S=\{R,G,B\}$
2. $S=\{R,R,R,B,B,G,G,G,G,G\}$
3. $S=\{R,R,G,G,B,B\}$
4. $S=\{R,R,R,B,B,B,G,G,G\}$

Q. Jos sells two types of notebooks A and B. Each notebook is offered in red, blue, or yellow colors. If a notebook is selected at random, how many different possibilities are in the sample space?

Q.
David spins the spinner once. What is the sample space $\left(\text{S}\right)$ for this experiment?​​​​​​​

1. $\text{S = {1, 3, 5}}$
2. $\text{S = {2, 4}}$
3. $\text{S = {1, 2, 3, 4, 5}}$
4. None of the above

Q. Which of the following resembles the sample space for flipping $\text{two}$ coins?

1. {H, T}
2. {HH, TT}
3. {HH, TT, HT}
4. {HH, TT, HT, TH}

Q. A box consists of different objects possessing different colors and different shapes. There are $3$ red squares, $4$ orange triangles and $6$ yellow five-point stars. If any shape is picked at random from the box, then form the sample space for different objects available in the box.

1. 
2. 
3. 
4. 

Q. Which among the following represents a sample space when a coin is tossed?
($H$ represents head and $T$ represents tail)

1. $S=\{H,T\}$
2. $S=\{T,T\}$
3. $S=\{H,H\}$
4. $S=\{T,H\}$

Q. Eric tosses a coin twice. All the possible outcomes that he could see , and if he wants atleast one head, the favorable outcomes become .

1. {HH, HT, TT}
2. {HH, TH, TT}
3. {HH, HT, TH, TT}
4. {HH, HT, TH}
5. {TT, HT, TH}

Q. A coin is tossed and a die is rolled one after the other. What is the probability of flipping a tail and seeing a 4?

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{8}$
4. $\frac{1}{12}$

Q. The number of possible outcomes for flipping a coin and rolling a dice is

Q. Form the sample space $S_1$ for the desired outcome in the given situation:

1. $S_1=\{1,2,3,4,5,6\}$
2. $S_1=\{2,4,6\}$
3. $S_1=\{1,3,5\}$
4. $S_1=\{1,3,5,6\}$