(a) How many outcomes are there? 12 outcome(s) (b) How many outcomes have both Bob and Jessica being chosen? 2 outcome(s) (c) How many outcomes do not have Ann being chosen? 6 outcome(s)
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- A class is choosing a president and a vice president. There are three students running for president: Ann, Maria, and Linda.There are three students running for vice president: Bob, Jim, and John. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. (a) How many outcomes are there? ____ outcome(s) (b) How many outcomes do not have Ann being chosen? _____ outcome(s) (c) How many outcomes have both Linda and John being chosen? _____ outcome(s)Question Answered A company has to select 3 officers from a pool of 6 candidates. How... A company has to select 3 officers from a pool of 6 candidates. How many different ways can this be done (a) The officers are distinct? (b) The officers are not distinct?A. Multiple-Choice Tests Professor Easy's final examination has 13 true-false questions followed by 2 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of six. How many answer sheets are possible? ____ = choices B. Marbles A bag contains three red marbles, four green ones, one lavender one, three yellows, and three orange marbles. How many sets of four marbles include all the red ones? ___ = sets ANSWER BOTH A and B
- Three hundred people buy raffle tickets. Three winning tickets will be drawn at random. (a) If first prize is $130, second prize is $80, and third prize is $30, in how many different ways can the prizes be awarded?(b) If each prize is $80, in how many different ways can the prizes be awarded?An experiment is picking a card from a deck of 52 cards.SS = {2S, 3S, 4S, 5S, 6S, 7S, 8S, 9S, 10S, JS, QS, KS, AS, 2C, 3C, 4C, 5C, 6C, 7C, 8C, 9C, 10C, JC, QC, KC, AC, 2D, 3D, 4D, 5D, 6D, 7D, 8D, 9D, 10D, JD, QD, KD, AD, 2H, 3H, 4H, 5H, 6H, 7H, 8H, 9H, 10H, JH, QH, KH, AH}a. What is the probability that you chose a jack or a queen?P(a jack or a queen) = Give your answer as a reduced fraction.b. What is the probability that you chose a spade and a heart?P(a spade and a heart) = Give your answer as a reduced fraction.Topic: Choosing ping-pong balls without replacement.There are 6 white and 4 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.Enter your answers as fractions. (The "Preview" simply displays your answer in nice mathematical text.It does not mean that your answer is either right or wrong.)a) How many total balls are in the bag? b) What is the probability that the 1st ball is orange?P(1st = orange) = c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?P(2nd = orange | 1st = orange) = d) What is the probability that both the 1st and the 2nd balls are orange?
- A class consists of 15 boys and 10 girls. They want to elect officers so that the president and secretary are girls, and the vice president and treasurer are boys. (a) How many possibilities are there? possibilities(b) How many are there if 3 of the boys refuse to participate? possibilitiesTarot cards are used for telling fortunes, and in a reading, the arrangement of the cards is as important as the cards themselves. How many different readings are possible if five cards are selected from a set of eight Tarot cards? ______ readingsGuessing the top three winners (in any order) from a group of 16 finalists in a soccer tournament?