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Name:__________________________ Math 1324 Activity 18(Due Nov. 24) Complete the sample space for the following experiments. (1-2) 1. A day of the week is chosen. Monday 2. A coin is tossed, and a die is rolled. H ,1 H ,2 T ,1 Write out an equally likely sample space for the following experiments, and then determine the outcomes in the indicated events and their probability. (3-4) 3. Six people live in a dorm suite. Two are to be selected to go pick up a pizza. The six names: Connie, Casey, Lindsey, Jackie, Tasha, and Lisa are placed in a hat, and two names are drawn. Connie,Casey Connie,Lindsey a) Both names selected begin with the letter L. b) One name begins with the letter L and the other name begins with the letter J or the letter C. c) At least one name begins with the letter C. 4. An unprepared student takes a three-question true-false test in which he flips a coin to guess the answers. If the coin is heads, he guesses true, and if the coin is tails, he guesses false. TTT TTF a) The student guesses true twice and guesses false once. b) The student guesses all false. c) The student guesses true once and guesses false twice. 5. A fair die is rolled. Find the probabilities of the following events. a) Getting a number less than 4 b) Getting a 2 or a 5 c) Getting any number except 3 6. A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of drawing the following. a) a red card b) a club c) a 7 or a king d) a face card 7. The number of students taking Finite Math is given in the following table: Male(M) Female(F) Total New(N) 200 300 500 Repeat(R) 80 32 112 Doublerepeat(D) 20 18 38 Total 300 350 650 If one Finite Math student is selected at random, find the probability of the following events: a) M b) F R c) M D d) N Bonus: Decode the contents of the rectangle into a familiar word or phrase. Norman Vincent Peale thinking