Question

Help with these 4 questions

Answer 1

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

b. $S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. $S_3 = \{HH, HT, TH, TT\}$

d. $S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

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

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

$S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

$S_3 = \{HH, HT, TH, TT\}$

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

$S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Hence,

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

b. $S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. $S_3 = \{HH, HT, TH, TT\}$

d. $S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Keywords: Sample Space, Probability

Learn more about sample space at:

• brainly.com/question/11007026
• brainly.com/question/11207748

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