Final Assignment Unit B: Probability

Please complete the assignment on separate paper, scan and upload to the

Dropbox folder "Unit B Final Assignment"

1. Create a problem that demonstrates the probability of two events that are either

mutually exclusive or non-mutually exclusive. Note: A problem has given

information and always asks a question that requires investigation. Complete the

following for full marks:

a. Explain why your problem is mutually exclusive or

non-mutually exclusive. /1

b. Provide a definition for mutually exclusive and non-mutually

exclusive events. /1

c. Create a graphic organizer (Venn Diagram, tree diagram, flow chart, etc.)

to support your problem /2

d. Provide a detailed solution to your problem /2

2. Create a problem that demonstrates the probability of two events that are dependent

events. Note: A problem has given information and always asks a question that

requires investigation. Complete the following for full marks:

a. Explain why your problem is a dependent event /1

b. Provide a definition for independent and dependent events. /1

c. Create a graphic organizer (Venn Diagram, tree diagram, flow chart, etc.)

to support your problem /2

d. Provide a detailed solution to your problem /2

3. The odds that your best friend will "like" your latest TikTok is 7:2.

a. Explain this ratio. (What does each individual value of the ratio /3

indicate? What does the entire ratio suggest?). Should you be happy

or upset with your friend after discovering this ratio? Explain.

b. What is the probability that your best friend will "like" your next

post? Round your answer to the nearest percent. /1

c. What is the probability that your best friend will not "like" your next

post? Round your answer to the nearest percent. /1

/32

d. Now, I want you to investigate one of your own social media profiles.

(Twitter, Instagram, Facebook, TikTok, etc). Take a look at your

last 10 posts. After looking at the "likes" portion of each post

please determine:

i. The odds that a certain individual will like your /3

next post? (This individual can be anyone: best friend, sibling,

relative, etc. Chose ONLY ONE). Explain why you arrived

at your answer.

ii. What are the odds that the same individual will not like /1

your next post? Explain why you arrived at your answer.

4. The Universal Set, U, consists of the natural numbers from 20 to 60 inclusive

a. Define or describe in words the following three (3) sets:

factors of 64, prime numbers, and multiples of 3. /1

Let ___________________________________________________

Let ___________________________________________________

Let ___________________________________________________

b. List the elements in each of your sets: /3

A = { }

B = { }

C = { }

c. Determine the probability of each of the following: /4

i. P(C)

ii. P(A B)

iii. P(A B C)

iv. P(B\C)

v. P((A\B) C)

5. On any given Monday Jace may go for a river valley jog. If it is sunny

outside, there is a 0.75 probability that he will go for a jog. If it is not /3

sunny, the probability that Jace goes for a jog is 0.35. Next Monday, the

weather channel predicts a probability of 0.60 that it will be sunny.

Given that Jace goes for a jog next Monday, what is the probability that it

was sunny outside?

Hint: This is conditional probability and you will need to create a tree

diagram and use: P(A and B) = P(A) P(B|A)