A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is greater than 4.
Event B: The number rolled is odd.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A and ":
(b) Event " A or B ":
© The complement of the event :

Ask by Gibson Wang. in the United States

Mar 28,2025

Question

A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is greater than 4.
Event B: The number rolled is odd.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A and ":
(b) Event " A or B ":
© The complement of the event :

Ask by Gibson Wang. in the United States

Mar 28,2025

UpStudy AI · Accepted Answer

(a) Event $$ A $$ corresponds to numbers greater than 4: $$\{5,6\}$$.  
Event $$ B $$ corresponds to odd numbers: $$\{1,3,5\}$$.  
The event "A and $$ B $$" is the intersection of $$ A $$ and $$ B $$:  
$$
A \cap B = \{5\}
$$

(b) The event "A or $$ B $$" is the union of $$ A $$ and $$ B $$:  
$$
A \cup B = \{5,6\} \cup \{1,3,5\} = \{1,3,5,6\}
$$

(c) The complement of event $$ A $$ consists of outcomes not in $$ A $$. Since  
$$
A = \{5,6\},
$$  
its complement is:  
$$
A^c = \{1,2,3,4\}
$$
(a) Event "A and B": 5 (b) Event "A or B": 1, 3, 5, 6 (c) Complement of A: 1, 2, 3, 4

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