(Answered) MATH399N Week 3 Assignment: Basic Probability

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Question

When you roll a pair of six-sided die, the probability of rolling an 8 is 5/36. Identify the method of probability that was used to reach this statement.

 

Question

An urn contains 6 red beads, 4 blue beads, and 2 green beads. If a single bead is picked at random, what is the probability that the bead is blue?

Give your answer as a fraction.

 

Question

You roll a standard die (with the numbers {1,2,3,4,5,6} on its faces). Let A be the event that you roll an odd number. What is the probability of the event A?

Give your answer as a fraction.

 

Question

In the year 2013, the state of Oklahoma reported that the probability of a randomly selected adult being obese was 32.5%. Identify the method of probability that was used to reach this conclusion.

 

Question

Ronald finished his daily jog and wants a drink. In his refrigerator, there are 2 cans of energy drink, 9 cans of soda, and 11 bottles of water. If Ronald chooses a drink at random, what is the probability that he chooses a bottle of water?

  • Give your answer as a fraction.

 

Question

When a coin is tossed three times, the chance that all three tosses are heads is 1/8. Identify the method of probability used to reach this statement.

Question

A dairy farmer milks his two cows every day. He determined the chance that he gets anywhere between 12 and 14 gallons of milk in one day is around 32%. Identify the method of probability the farmer used to reach this conclusion.

 

Question

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

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

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

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

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.

Answer: 3/25

Question

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

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

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

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

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.

 Solution:

Question

When you roll a pair of six-sided die, the probability of rolling an 8 is 5/36. Identify the method of probability that was used to reach this statement.

Correct answer:

theoretical

Question

An urn contains 6 red beads, 4 blue beads, and 2 green beads. If a single bead is picked at random, what is the probability that the bead is blue?

Give your answer as a fraction.

Correct answers:

  • 1/3

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