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 even. Event \( B \) : The number rolled is less than 4 . 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 " \( A \) or \( B^{n}: \mid\{| |\} \) (b) Event " \( A \) and \( B \) ": \{ (c) The complement of the event \( A \); \( \square \) Start ower
Ask by Conner Carroll. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Event "A or B": 1, 2, 3, 4, 6
(b) Event "A and B": 2
(c) Complement of event A: 1, 3, 5
Solution
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Mind Expander
Event \( A \) consists of the even numbers on the cube, which are 2, 4, and 6. So, \( A = \{2, 4, 6\} \). Event \( B \) includes numbers less than 4, specifically 1, 2, and 3. Hence, \( B = \{1, 2, 3\} \). (a) Event " \( A \) or \( B^{n} \) ": \( \{1, 2, 3, 4, 6\} \) (b) Event " \( A \) and \( B \) ": \( \{2\} \) (c) The complement of the event \( A \); \( \{1, 3, 5\} \)
