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(Answer) MATH399N – Week 3 Assignment: Basic Probability

QUESTIONS

Question 1

Martin is a food critic reviewing a restaurant that has 6 main courses, 3 desserts, and 5 appetizers he has yet to try. Martin asks the server to surprise him with one of the remaining items. What is the probability that Martin is served a main course?

  • Give your answer as a fraction.

Question 2

An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director will select an employee who is not a multiple of 13?

  • Give your answer as a fraction. Reduce the fraction if necessary.

Question 3

On a statistics exam, 8 students received an A, 4 students received a B, and 6 students received a C. If a single student is picked at random, what is the probability that they received an A or C?

  • Provide the final answer as a fraction.

Question 4

A moving company has boxes numbered 1 through 40. What is the probability that the first box chosen by a mover is not a multiple of 9?

  • Give your answer as a fraction. Reduce the fraction if necessary.

Question 5

Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck. What is the probability that the number drawn is a multiple of 3 AND a multiple of 5?

  • Enter your answer as a simplified fraction.

Question 6

According to a poll, 37 out of every 100 people support a new bill about to be signed into law. Identify what method of probability was used to reach this statement.

Question 7

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number?

  • Provide the final answer as a fraction.

Question 8

A single card is randomly drawn from a standard 52-card deck. Find the probability that the card is a face card AND is red.

(Note: aces are not generally considered face cards, so there are 12 face cards. Also, a standard deck of cards is half red and half black.)

  • Provide the final answer as a fraction.

Question 9

There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one card is chosen at random, what is the probability that it is not between the letters L and P, inclusive?

  • Write your answer in fraction form. Reduce the fraction if necessary.

Question 10

Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?

  • Give your answer as a fraction. Reduce the fraction if necessary.

Question 11

The Census Bureau reports that if you were to select any random person from the United States, there is a 77.5% chance that the person is 18 or older. Identify the method of probability that was used in order to reach this conclusion.

Question 12

On a standard roulette wheel, the probability of rolling an odd number is 18/38, or 9/19. Identify the method of probability used that resulted in this statement.

ANSWERS:

Question 1

Martin is a food critic reviewing a restaurant that has 6 main courses, 3 desserts, and 5 appetizers he has yet to try. Martin asks the server to surprise him with one of the remaining items. What is the probability that Martin is served a main course?

  • Give your answer as a fraction.

Answer:

6/14

Question 2

An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director will select an employee who is not a multiple of 13?

  • Give your answer as a fraction. Reduce the fraction if necessary.

Answer:

47/50

Question 3

On a statistics exam, 8 students received an A, 4 students received a B, and 6 students received a C. If a single student is picked at random, what is the probability that they received an A or C?

  • Provide the final answer as a fraction.

Answer:

14/18

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