Pregunta
A marble is selected from a bag containing eight marbles numbered 1 to 8 .
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event
The marble selected has an odd number.
Event
: The marble selected has a number from 3 to 6 .
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 "
and
": {[}
(b) Event "
or
":
© The complement of the event
The number on the marble selected 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 Luna Wells. in the United States
Mar 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a) Event “A and B”: 3, 5
(b) Event “A or B”: 1, 3, 4, 5, 6, 7
© Complement of event A: 2, 4, 6, 8
Solución
(a) The event
is defined as the marble being odd, so
The event
is the marble being a number from 3 to 6, so
The event "
and
" is the intersection of
and
:
(b) The event "
or
" is the union of
and
:
© The complement of event
, denoted
, consists of all outcomes not in
. Since the total sample space is
we have
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Como
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Bonus Knowledge
Let’s break this down step by step!
(a) Event "
and
":
This event involves selecting a marble that is both odd (Event A) and falls between the numbers 3 and 6 (Event B). The only numbers that satisfy both conditions are 3 and 5.
This event involves selecting a marble that is both odd (Event A) and falls between the numbers 3 and 6 (Event B). The only numbers that satisfy both conditions are 3 and 5.
(b) Event "
or
":
For this event, we’re looking for marbles that are either odd (1, 3, 5, 7) or fall in the range from 3 to 6 (3, 4, 5, 6). Combining these sets, we have 1, 3, 4, 5, 6, and 7.
For this event, we’re looking for marbles that are either odd (1, 3, 5, 7) or fall in the range from 3 to 6 (3, 4, 5, 6). Combining these sets, we have 1, 3, 4, 5, 6, and 7.
© The complement of the event
The complement of Event A (marbles with odd numbers) includes all the numbers that are not odd. Therefore, the complement consists of the even numbers: 2, 4, 6, and 8.
The complement of Event A (marbles with odd numbers) includes all the numbers that are not odd. Therefore, the complement consists of the even numbers: 2, 4, 6, and 8.

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