Exam 18: Probability Models

Suppose a sorority is selling 500 raffle tickets to raise money for a local charity. You are going to be the first person to purchase any of the tickets. What is the smallest number of tickets you need to purchase to ensure that your probability of winning is greater than anyone else's probability of winning?

In many popular board games, a player rolls two dice and moves the number of spaces equal to the sum shown on the dice. Here is the assignment of probabilities to the sum of the numbers on the up faces when two fair dice are rolled: Suppose Scott rolls a sum of 9 on his first roll. What is the probability that Jennifer will have the same sum on her first roll?

A die has six faces, showing 1 to 6 pips (spots). If a die is balanced, all six faces are equally likely. What must be the probability of each face?

The _______________ of a statistic indicates what values the statistic takes in repeated samples from the same population and how often it takes those values.

A household is a group of people living together at the same address. According to the 2015 Current Population Survey's Annual Social and Economic (CPS ASEC) Supplement, if an American household were chosen at random and asked how many people lived there, here are the probabilities: What is the probability that a randomly chosen household contains 8 people?

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows: Back in the 17th century, some gamblers thought that the probability of at least one ace (i.e., one or more aces) when rolling two dice was 1/6 + 1/6. Is that true?

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week: What is the probability of winning nothing?

A _______________ for a random phenomenon describes all the possible outcomes and indicates how to assign probabilities to any collection of outcomes.

A multiple-choice exam offers five choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer right. One of your math major friends tells you that the assignment of probabilities to the number of questions Jason gets right out of 10 is (rounded to three decimal places): What is the probability that Jason will get no more than two of the ten questions right?

For a certain random experiment, let's consider four different outcomes, which we'll call A, B, C, and D. It has been determined that the probabilities of these outcomes are as follows: What is the probability of outcome C?

An experiment has four possible outcomes: A, B, C, and D. Which of the following is a legitimate assignment of probabilities for these four events?

The probability that the sum is 7 when you roll two dice is 1/6; the probability that the sum is 11 is 1/18. Suppose you play a game where you win if the sum is 7 or 11. What is the probability that you win?

A friend rolls a cheap 6-sided die many times. He reports that the probabilities of the possible outcomes are about as follows: Is this a legitimate assignment of probabilities?

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: This is a legitimate assignment of probabilities because it satisfies these rules:

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: What is the probability that a randomly chosen household owns fewer than two tablet computers?

When you choose a card at random from a well-shuffled deck, the probability is 1/4 that your card belongs to any one of the four suits: clubs, diamonds, hearts, and spades. Clubs and spades are black, hearts and diamonds are red. The probability that your randomly chosen card is red is

A household is a group of people living together at the same address. According to the 2015 Current Population Survey's Annual Social and Economic (CPS ASEC) Supplement, if an American household were chosen at random and asked how many people lived there, here are the probabilities: What is the probability that a randomly chosen household contains four or more people?

A psychologist thinks that listening to Bach helps people think. She gives subjects a set of puzzles and measures how many they solve in five minutes while listening to Bach. From data on many people, the psychologist gets this probability model: The probability that a subject solves more than one puzzle is

A game involving a pair of dice pays you $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36. What is your approximate probability of losing money in one play of the game?

Here is an assignment of probabilities to the face that comes up when rolling a die once: Which of the following is true?