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
The number rolled is even.
Event
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
or
(b) Event
and
© The complement of the event
The number rolled will be recorded as the outcome.
Consider the following events.
Event
Event
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
(b) Event
© The complement of the event
Ask by Ortiz Ortega. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Event
or
includes outcomes 1, 2, 3, and 5.
(b) Event
and
includes outcomes 1 and 3.
© The complement of event
includes outcomes 1, 3, and 5.
Solution

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The Deep Dive
Let’s explore the outcomes for each of the specified events related to the number cube roll.
(a) Event
or
: The outcomes for event
(the number rolled is even) are
, and for event
(the number rolled is less than 4), the outcomes are
. Combining these two sets, the outcomes for event
or
are:
.
(b) Event
and
: Here, we find the overlap between the two events. The even numbers are
, and the numbers less than 4 are
. The common element where both events intersect is just
, so the outcomes for event
and
are:
.
© The complement of the event
: The outcomes for event
(even numbers) are
. Therefore, the complement will include all outcomes that are not in event
, which are the odd numbers, yielding:
.