Question
These events have common outcomols.
a. mutually exclusive
b. not mutually exclusive
c. complement
d. intersection
When you draw a card form a standard deck of cards, what is the probability of getting a club or a red cand?
a.
b.
c.
d.
a.
b.
d.
a. not mutually exclusive
b. complement
c. mutually exclusive
4. interiection
What kind of events are baing illustrated if you are attending an online class or using the internet at the same time?
a. mutually exclusive
b. intersection
c. not mutually exclusive d. complement
a. mutually exclusive
b. not mutually exclusive
c. complement
d. intersection
a.
b.
c.
d.
a.
b.
d.
a. not mutually exclusive
b. complement
c. mutually exclusive
4. interiection
a. mutually exclusive
b. intersection
c. not mutually exclusive d. complement
Ask by Ingram Haynes. in the Philippines
Mar 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
-
The events are not mutually exclusive.
-
The probability of drawing a club or a red card is
. -
The formula for the probability of mutually exclusive events is
. -
The events are mutually exclusive.
-
Attending an online class and using the internet at the same time are not mutually exclusive events.
Solution
-
For events that have common outcomes, they are not disjoint. By definition, mutually exclusive events do not have any outcomes in common. Thus, the events described are
. -
A standard deck has 52 cards. There are 26 red cards (hearts and diamonds) and 13 clubs. Since clubs and red cards do not overlap, the total favorable outcomes are
Thus, the probability is
. -
For mutually exclusive events, the probability that either event occurs is the sum of their probabilities because their intersection is zero. Therefore, the formula is
. -
Events that do not have any outcomes in common are defined as mutually exclusive events.
-
When you are attending an online class, you are typically using the internet. Therefore, these events (attending an online class and using the internet) can occur at the same time and they are not mutually exclusive.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
Drawing a card from a standard deck can lead to some interesting insights! A standard deck consists of 52 cards, with 4 suits: hearts, diamonds, clubs, and spades. Since “clubs” refers to one suit, while “red cards” include hearts and diamonds, the overlap here shows how these categories can help solve the probability puzzle in a fun way, emphasizing that knowledge about the structure of the deck is key to solving probability problems!
Now let’s talk about those mutually exclusive events! These are like oil and water — they just don’t mix! If you’re attending an online class, you’re not also watching a superhero movie at that exact same time; those are mutually exclusive events. On the other hand, if you’re using the internet for research while the class is going on, you’re walking the fine line of events that can coincide! By understanding these differences, you’ll become a pro at probability!
