Exam 17: Thinking About Chance

Suppose you have a bag of 10 sandwiches from the deli: one bacon, lettuce, and tomato (BLT;) one ham on rye; and eight bologna sandwiches. You pull out one sandwich and discover that you've pulled out the ham on rye. If you put the sandwich back into the bag, what is the probability that you pull out the ham on rye the next time you pull out a sandwich?

Suppose you have five friends: Malik, Samson, Quint, Jennifer, and Monique. You randomly choose four of them to attend a basketball game with you. What is the probability that Jennifer is not chosen to attend the game with you?

Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?

When two six-sided die are rolled, the probability of getting a one on both is 1/36. This means that

Suppose you have a bag of 10 sandwiches from the deli: one bacon, lettuce, and tomato (BLT) one ham on rye; and eight bologna sandwiches. You pull out one sandwich and discover that you've pulled out the ham on rye. If you put the sandwich back into the bag, what is the probability that you pull out the BLT the next time you pull out a sandwich?

Suppose you have five friends: Malik, Samson, Quint, Jennifer, and Monique. You randomly choose four of them to attend a basketball game with you. What is the probability that you choose at least one friend whose name starts with the letter "M"?

Suppose you have five friends: Malik, Samson, Quint, Jennifer, and Monique. You randomly choose one of them to attend a basketball game with you. What is the probability that you choose Quint?

Suppose you have a bag of 10 sandwiches from the deli: one bacon, lettuce, and tomato (BLT) one ham on rye; and eight bologna sandwiches. You pull out one sandwich and discover that you've pulled out the ham on rye. If you do not put the sandwich back into the bag, what is the probability that you pull out a bologna sandwich the next time you pull one out?

Just before winning the Belmont Stakes and becoming the first horse in 37 years to win the Triple Crown, the odds against racehorse #5 (named American Pharoah) winning the race were 3 to 5 (3:5 odds against winning). What did the oddsmakers consider the probability that American Pharoah would win that year's Belmont Stakes?

There are 2,598,960 possible 5-card hands that can be dealt from an ordinary 52-card deck. Of these, 5148 have all five cards of the same suit. (In poker such hands are called flushes.) The probability of being dealt such a hand (assuming randomness) is closest to

You read in a book about the card game Bridge that the probability that each of the four players is dealt exactly one ace is about 0.11. This means that

A Home Depot store receives a shipment of 500 cordless screwdrivers of the same model. The 500 boxes are labeled 0, 1, 2, 3, ... , 499. The inventory specialist at the store wishes to test five of the screwdrivers. She uses the table of random digits to choose a single pair of digits at random from all the possible pairs 00, 01, ... , 99. It happens that she chooses the pair 69. She then inspects all the phones whose labels end in the chosen pair of digits. In this case, she will inspect the phones with labels 69, 169, 269, 369, and 469. The chance that the phone labeled 341 would be one of those chosen was:

A _____________ of an outcome is a number between 0 and 1 that expresses an individual's judgment of how likely the outcome is.

As the number of tosses of a fair coin goes up from 10, to 100, to 1000, and to 10,000, what happens to the probability of getting between 40% and 60% heads? What happens to the probability of getting exactly 50% heads?

It is known that about 82% of Dr. Street's introductory statistics students pass his course. What is the probability that a randomly selected student from Dr. Street's current introductory statistics course will earn a passing grade?

Suppose you have a bag of 10 sandwiches from the deli: one bacon, lettuce, and tomato (BLT) one ham on rye; and eight bologna sandwiches. You pull out one sandwich and discover that you've pulled out the ham on rye. If you do not put the sandwich back into the bag, what is the probability that you pull out the ham on rye the next time you pull out a sandwich?

A sorority is selling 1000 raffle tickets to raise money for a charity. The prize is a $100 gift card to the campus bookstore. Amy says that the probability that she has the winning ticket is 1. Assuming that there is no cheating and that all 1000 tickets are sold, how many raffle tickets does Amy have?

About 34% of people are expected to be infected by the flu this season. What is the risk that a randomly selected person will be infected by the flu?

The Virginia State Lottery Commission states that the probability of winning a prize in their new scratch-off ticket lottery is 0.31. What are the odds against winning a prize in this new lottery game?

Your roommate plays a Pick Three lottery game, with probability one in one thousand (0.001) of winning the largest prize. He has played every opportunity (daily, morning and night) for the past year, using his area code, and has never won-730 losses in a row. What is the probability he wins the largest prize on the next drawing?