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Miami Dade College InterAmerican Campus Exam Name___________________________________ Date: Find the probability. 1) A bag contains 2 red marbles, 4 blue marbles, and 8 green marbles. What is the probability of choosing a blue marble? A) B) C) D) 1) _______ 2) A fair die is rolled. What is the probability of rolling a 3 or a 4? A) 2 B) C) D) 2) _______ 3) A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue? A) B) C) D) 9 3) _______ Find the odds. 4) 4) _______ What are the odds in favor of spinning an A on this spinner? A) 2:6 B) 6:2 C) 4:2 D) 3:5 5) A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the cube showing an odd number? A) 1:1 B) 1:2 C) 3:2 D) 2:1 Solve the problem. 6) The odds in favor of a horse winning a race are posted as Find the probability that the horse will win the race. A) B) C) 9 : 4. 5) _______ 6) _______ D) 7) The odds against Carl beating his friend in a round of golf are 3 : 2. Find the probability that Carl will beat his friend. A) B) C) D) Find the probability. 8) A 6-sided die is rolled. What is the probability of rolling a 3 or a 5? A) 7) _______ 8) _______ B) 2 C) D) 9) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8? A) B) C) D) 9 Solve the problem. 10) One card is selected from a deck of cards. Find the probability of selecting a black card or a king. A) B) C) D) 11) One card is selected from a deck of cards. Find the probability of selecting a red card or a card less than 7. (Note: The ace is considered a low card.) A) B) C) D) Find the probability. 12) If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place? A) 0.01 B) 0.67 C) 0.55 D) 0.82 9) _______ 10) ______ 11) ______ 12) ______ 13) If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second. A) B) C) D) 13) ______ 14) Elise has put 5 cans (all of the same size) on her kitchen counter; 2 cans of vegetables, 2 cans of soup , and 1 can of peaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then chooses 2 cans (without replacement) at random to open. Find the probability that she will open at least 1 can of soup. A) B) C) D) 14) ______ 15) You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. A) B) C) D) 15) ______ Evaluate the expression. 16) A) 8,648,640 16) ______ B) 617,760 C) 1,235,520 D) 10,080 An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. 17) In how many ways can the people be presented? 17) ______ A) 2,520 B) 49 C) 720 D) 5,040 18) In how many ways can the men be presented first and then the women? A) 72 B) 2 C) 144 D) 5,040 Solve the problem. 19) How many different three-digit numbers can be written using digits from the set { 2, 3, 4, 5, 6} without any repeating digits? A) 10 three-digit numbers B) 120 three-digit numbers C) 20 three-digit numbers D) 60 three-digit numbers 20) There are 9 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are no ties.) A) 504 B) 82 C) 508 D) 84 Evaluate the expression. 21) A) 720 18) ______ 19) ______ 20) ______ 21) ______ B) 3 C) 6 D) 240 Solve the problem. 22) How many ways can a committee of 5 be selected from a club with 10 members? A) 100,000 B) 50 C) 30,240 D) 252 22) ______ 23) If the police have 9 suspects, how many different ways can they select 5 for a lineup? A) 15,120 B) 3024 C) 45 D) 126 23) ______ 24) A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without looking, how many ways can you get exactly 7 apples? A) 252 B) 72 C) 3528 D) 504 24) ______ 25) How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52-card deck? A) 24 B) 6 C) 12 D) 288 25) ______ Find the probability (as a decimal rounded to four decimal places). 26) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability that you have all cherry candies. A) 0.1091 B) 0.7272 C) 0.3636 D) 0.1212 27) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability that you have 2 cherry candies and 1 lemon candy. A) 0.3636 B) 0.7272 C) 0.1818 D) 0.1212 26) ______ 27) ______ 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) B C C D A A A A B C C C C C B C D C D A C D D A A D C