a. [tex]S_1 = \{1,2,3,4,5,6\}[/tex]
b. [tex]S_2 = \{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}[/tex]
c. [tex]S_3 = \{HH, HT, TH, TT\}[/tex]
d. [tex]S_4 = \{1H, 1T, 2H, 2T, 3H, 3T, 4H,4T, 5H,5T,6H,6T\}[/tex]
Step-by-step explanation:
A sample space is the set f all possible outcomes of an experiment
So,
a. Rolling a six-sided die
A die has six sides numbered from 1 to 6. When a die is rolled, it can land on any number so the sample space will be:
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
b. Guessing the first initial of a student's name:
As a student's first name can start with any letter of English alphabets. As the name is always started with a capital letter the sample space will be:
[tex]S_2 = \{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}[/tex]
c. Tossing two coins
Tossing two coins means total [tex]2^2 = 4[/tex] outcomes
[tex]S_3 = \{HH, HT, TH, TT\}[/tex]
d. Rolling a six sided die and tossing a coin
As the die is rolled and a coin is tossed the outcome of die will either land with a heads or tails
[tex]S_4 = \{1H, 1T, 2H, 2T, 3H, 3T, 4H,4T, 5H,5T,6H,6T\}[/tex]
Keywords: Probability, sample space
Learn more about probability at:
- brainly.com/question/1463081
- brainly.com/question/1446615
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