Probability Jeopardy Final Jeopardy Simple Probabilities Permutations or Combinations Counting Principle Binomial Geometric Probability Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from Simple Probabilities What is the probability of rolling a 2 when a fair die is rolled once?

$100 Answer from Simple Probabilities 1/6

$200 Question from Simple Probabilities What is the probability of rolling an even number when a fair die is rolled once?

$200 Answer from Simple Probabilities ½

$300 Question from Simple Probabilities What is the probability that a card drawn at random from a deck of cards will be an ace ?

$300 Answer from Simple Probabilities

$400 Question from Simple Probabilities What is the probability that when a pair of six- sided dice are thrown, the sum of the numbers equals 5?

$400 Answer from Simple Probabilities

$500 Question from Simple Probabilities A book contains 32 pages numbered 1, 2,..., 32. If a student randomly opens the book, what is the probability that the page number contains digit 1?

$500 Answer from Simple Probabilities 1,10,11,12,13,14, 15,16,17,18,19,2 1,

$100 Question from Permutations or Combinations How many ways can 10 CD’s be selected from 45?

$100 Answer from Permutations or Combinations 3,190,187,286

$200 Question from Permutations or Combinations How many ways can 10 songs be arranged on a CD-R?

$200 Answer from Permutations or Combinations 3,628,800

$300 Question from Permutations or Combinations How many 5-digit numbers are there with no repeating digits?

$300 Answer from Permutations or Combinations 120

$400 Question from Permutations or Combinations How many ways are there to vote for four people from a group of nine?

$400 Answer from Permutations or Combinations 126

$500 Question from Permutations or Combinations How many sets of Secretary, Treasurer, and Historian can be selected from a group of 10?

$500 Answer from Permutations or Combinations 720

$100 Question from Counting Principle William wants a sandwich and a drink for lunch. If a restaurant has 4 choices of sandwiches and 3 choices of drinks, how many different ways can he order his lunch?

$100 Answer from Counting Principle 12

$200 Question from Counting Principle In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 if the boys are to have the first, third, and fifth seats?

$200 Answer from Counting Principle 36 = (3)(3)(2)(2)(1)(1)

$300 Question from Counting Principle If a customer makes exactly 1 selection from each of the 5 categories listed below, what is the probability their sundae will have almonds? 12 ice cream flavors; 10 kinds of candy; 8 liquid toppings; 5 kinds of nuts; With or without whipped cream;

$300 Answer from Counting Principle 1/5

$400 Question from Counting Principle You are at your school cafeteria that allows you to choose a lunch meal from a set menu. You can select two choices for the Main course (hot dog, hamburger, chicken, pasta, fries), three choices of a drink (juice, milk, water) and three choices of dessert (pie, ice cream, jello). How many different meal combos can you select?

$400 Answer from Counting Principle 90

$500 Question from Counting Principle License Plates for cars are labeled with 3 letters followed by 3 digits.(in this case, digits refer to digits 0 – 9) How many possible plates are there? Repetition is allowed.

$500 Answer from Counting Principle 26 3  10 3 = 17,576,000

$100 Question from Binomials Name one of the characteristics of a binomial experiment.

$100 Answer from Binomials

$200 Question from Binomials The coefficient of the 3 rd term of (4x – 9y) 8

$200 Answer from Binomials

$300 Question from Binomials If the probability it will rain on any given day is 32%, what is the probability it will rain on exactly 5 out of 7 days?

$300 Answer from Binomials C(7, 5) (.32) 5 (.68) 2 =

$400 Question from Binomials If A and B are equal sections, what is the probability that a randomly selected point is in A? A B C

$400 Answer from Binomials 1/8

$500 Question from Binomials You are dealt 7 cards from a standard deck, what is the probability you will have at least 3 red cards in your hand?

$500 Answer from Binomials

$100 Question from Geometric What is the probability of the following spinner landing on Longitude?

$100 Answer from Geometric Probability 1/3

$200 Question from Geometric Probability What is the probability of the following spinner landing on blue or red?

$200 Answer from Geometric Probability

$300 Question from Geometric What is the probability of the following spinner landing on yellow and red?

$300 Answer from Geometric Probability 0

$400 Question from Geometric Probability What is the probability of landing on a multiple of 3 if you spin the following spinner?

$400 Answer from Geometric Probability

$500 Question from Geometric Probability What is the probability of landing on 2 if you spin the following spinner?

$500 Answer from Geometric Probability

$100 Question from Potpourri At a basketball game, tickets for the 50/50 raffle are being sold for $3 each. There are 500 tickets sold. Is this a fair raffle? Why or why not?

$100 Answer from Potpourri No. EV is not = 0.

$200 Question from Potpourri What is the ratio comparing the number of desired outcomes to the number of total outcomes?

$200 Answer from Potpourri Probability

$300 Question from Potpourri David flipped a fair coin 100 times and the coin landed on tails 55 times. What is the experimental probability that this coin will land on heads the next flip?

$300 Answer from Potpourri

$400 Question from Potpourri The ratio between the number of successes and the number of failures.

$400 Answer from Potpourri Odds

$500 Question from Potpourri Which image has the largest portion shaded?

$500 Answer from Potpourri The square in the left corner.

Final Jeopardy Three exam questions are to be randomly chosen from a practice set of 10 problems of which 2 are ranked as difficult, 3 are medium-difficulty, and 5 are easy. What is the probability that the 2 difficult and 1 easy questions are selected?

Final Jeopardy Answer