# (Answered) MATH399N Week 3 Assignment: Probability Terminology and Notation

Question

Different types of advertising methods are being considered for a company’s new product: a magazine ad (M), a television ad (T), a newspaper coupon (N), a radio ad (R), a coupon mailer (C), and a social media ad (S). The coupons are both good for ten dollars off the item. The dots in the Venn diagram below show the various methods. An advertising specialist considers a method at random to review.

• Let Abe the event of selecting a method that gives a discount.
• Let Bbe the event of selecting a printed method.

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

# Question

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Red 1 is one of the outcomes in which of the following events? Select all correct answers.

# Question

A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Which of the following events include the outcome of drawing a blue 1?

# Question

A computer randomly generates numbers 1 through 100 for a lottery game. Every lottery ticket has 7 numbers on it.

Identify the correct experimenttrial, and outcome below:

# Question

A car dealership finds that a certain model of new car has something wrong with its transmission 15% of the time. How likely is it that a particular model of that car has something wrong with its transmission?

# Question

A bowl of candy contains 7 chocolate candies and 6 lemon candies. Choosing one piece of candy at random, find the probability of choosing a chocolate candy. Write your answer as a decimal, rounded to the hundredths place.

# Question

A bowl of candy contains 8 chocolate candies and 8 lemon candies. Choosing one piece of candy at random, find the probability of choosing a chocolate candy. Write your answer as a decimal, rounded to the hundredths place.

# Question

A lawyer has numbered the cases that he is working on. He has criminal cases numbered 1,2,3,4 and civil numbered 1,2,3,4,5. Let R be the event of selecting a criminal case, C the event of selecting a civil case, E the event of selecting an even numbered case, and O the event of selecting an odd case.

# Question

A university offers finance courses numbered 1,2,3,4,5 and accounting courses numbered 1,2,3,4,5,6. Let F be the event of selecting a finance course, A the event of selecting an accounting course, E the event of selecting an even numbered course, and O the event of selecting an odd course.

Selecting the accounting course number 3 is one of the outcomes in which of the following events? Select all correct answers.

Question

Katy is deciding which charity to donate to.  She is going to donate fifty dollars to each charity chosen, and she can donate to a women’s shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children’s foundation (C). The dots in the Venn diagram below show the combinations that she can donate to.

• Let Xbe the event of donating fifty dollars each to two charities for a total of one hundred dollars.
• Let Ybe the event of donating to the charity for rescue animals.

Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.

Question

Two fair dice are rolled, one blue, (abbreviated B) and one red, (abbreviated R). Each die has one of the numbers {1,2,3,4,5,6} on each of its faces. The dots in the Venn diagram below show the number and the color of the dice.

• Let Abe the event of rolling an even number on either of the dice.
• Let Bbe the event of rolling a number greater than 4 on either of the dice.

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

# Question

A standard six-sided die shows a number, 1, 2, 3, 4, 5, or 6, on each of its sides. You roll the die once. Let E be the event of rolling the die and it showing an even number on top and L be the event of rolling a number less than 4.

Rolling a 3 is an outcome of which of the following events? Select all correct answers.

Question

A biologist has a number of butterfly specimens. The butterflies are of various colors and various ages. The colors are green (abbreviated G), red (abbreviated R), or yellow (abbreviated Y). Each specimen is labeled with one the numbers {1,2,3,4,5,6} and the number represents how many months old it is. The dots in the Venn diagram below show the age and the color of the specimen. The biologist selects a specimen at random.

• Let Abe the event of selecting a yellow specimen.
• Let Bbe the event of selecting a specimen that is older than 2 months old.

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

Question

A CEO decides to award her employees that have met their objectives this year. Those employees that have met their objectives have the chance to win vacation days. They can win either Mondays (abbreviated M) or Tuesdays (abbreviated T). They can also win up to two days. The Venn Diagrams below show the different combinations that an employee can win.

• Let Abe the event of winning two of the same day.
• Let Bbe the event of winning a Monday

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

# Question

Which of the following pairs of events are independent?

# Question

You flip a coin and then roll a die. Which of the following is an outcome of this experiment?

Question

Using a standard 52-card deck, Michelle will draw 6 cards with replacement. If Event A = drawing all hearts and Event B = drawing no face cards, which of the following best describes events A and B?

Question

Martin will draw 3 cards from a standard 52-card deck without replacement 5 different times. For each 3-card draw, he will record the number of red cards and the number of black cards. What is a trial of this experiment?

Question

Let B be the event that a randomly chosen person has low blood pressure. Let E be the event that a randomly chosen person exercises regularly. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person exercises regularly, given that the person has low blood pressure.

# Question

Let S be the event that a randomly chosen store is having a sale. Let M be the event that a randomly chosen store has marked up their prices in the last six months. Identify the answer which expresses the following with correct notation: Given that the store is having a sale, the probability that a randomly chosen store has marked up their prices in the last six months.

Question

A mathematics professor is organizing her classroom into groups for the final project.  Each student will either be working on a graphing (G) project or writing a paper (P).  Also, each student will be working on an economics (E), finance (F), sociology (S), or criminal justice (C) problem.  The dots in the Venn diagram below show the different scenarios.

• Let Abe the event of a student working on a graphing project.
• Let Bbe the event of a student writing a paper.

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

# Question

Let C be the event that a randomly chosen cancer patient has received chemotherapy. Let E be the event that a randomly chosen cancer patient has received elective surgery. Identify the answer which expresses the following with correct notation: Of all the cancer patients that have received chemotherapy, the probability that a randomly chosen cancer patient has had elective surgery.

Question

Let S be the event that a randomly chosen voter supports the president. Let W be the event that a randomly chosen voter is a woman. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen voter is a woman, given that the voter supports the president.

# Question

A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 1 is one of the outcomes in which of the following events? Select all correct answers.

Question

Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the following are not events in this experiment?

# Question

Trial best fits which of the following descriptions?

# Solution:

Question

Different types of advertising methods are being considered for a company’s new product: a magazine ad (M), a television ad (T), a newspaper coupon (N), a radio ad (R), a coupon mailer (C), and a social media ad (S). The coupons are both good for ten dollars off the item. The dots in the Venn diagram below show the various methods. An advertising specialist considers a method at random to review.

• Let Abe the event of selecting a method that gives a discount.
• Let Bbe the event of selecting a printed method.

Move the dots on the Venn diagram to place the dots in the correct event, A, B,or A AND B. Note that you might not use all of the dots.

Answer: # Question

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Red 1 is one of the outcomes in which of the following events? Select all correct answers. 