Fill –in–the–blanks: 1)
The probability of an event can be any number between and including and . 2) If an event cannot occur, its probability is . 3) If an event is certain to occur, its probability is . 4) The sum of the probabilities of the events in the sample space is. Short
5) List the outcomes in the sample space for tossing a coin three times (use H for heads and T for tails). 6) Using the sample space in #5, find the probabilities below as reduced fractions: / a) Of getting exactly one tail b) Of getting no heads c) Of getting all heads or all tails 7) During a sale at a men’s store, 16 white sweaters, 3 red sweaters, 9 blue sweaters, and 7 yellow sweaters were purchased. If a customer is selected at random, find the probability that he bought: (as fractions) a) A blue sweater b) A yellow or white sweater c) A sweater that was not white 8) When two dice are rolled, find the probability of getting: (as reduced fractions) a) A sum of 5 or 6 b) A sum greater than 9 c) A sum less than 4 or greater than 9 d) A sum that is divisible by 4 e) A sum of 14 f) A sum less than 13 9) Draw a tree diagram and list all possible the outcomes. A coin is tossed; if it falls heads up, it is tossed again. If it falls tails up, a die is rolled. (I have started it for you) H T
Section 4.2: Write answers as decimals rounded to the thousandths. 10) If a card is drawn at random from an ordinary 52-card deck, find the following probabilities: a) Choosing a face a card or a heart Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability. b) Choosing a 6 or a diamond Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability. c) Choosing a Queen or a King Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability. 11) A manufacturing company has three factories: X, Y, and Z. The daily output of each is shown here. Factory X Factory Y Factory Z totals TV’s 18 32 15 Stereos 6 20 13 total If one item is selected at random, find these probabilities. a) It was manufactured at factory X or is a stereo. Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability. b) It was manufactured at factory Y or factory Z. Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability. c) It is a TV or was manufactured at factory Z. Is this mutually exclusive or not mutually exclusive? Set up the fractions and find the probability.