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A bag contains four red, six white, and eight blue marbles. a. b. c. d. e. What is the theoretical probability of drawing a red marble? What is the theoretical probability of drawing a white marble? What is the theoretical probability of drawing a blue marble? What is the theoretical probability of not drawing a white marble? What is the theoretical probability of not drawing a white or a red marble? Three chips are tossed. The red chip has a side A and a side C. The yellow chip has a side B and a side C. The blue chip has both sides marked B. Use the provided tree diagram to help you determine your answers. Find the probability of getting exactly f. g. h. i. j. k. one C one B one A two Cs two Bs two As Red Yellow Blue B B B B A C B C B B C B B B Player I scores a point if a pair of Cs turn up, and player II scores a point if a pair of Bs or an A turn up. What is the probability of each player scoring? Change the game to make it fair. Two dice are tossed. Find the probability of getting a. a sum of 9 f. a product of 16 b. a sum of 2 or 12 g. a product of 1 or 36 c. an even sum h. a product greater than 15 d. a sum greater than 10 i. an odd product e. a sum which is a multiple of 4 j. a product that is a multiple of 4 Use the spinner to answer the questions. A What is the probability the spinner will land on A? What is the probability the spinner will land on B? B A B Using the hats given, find the probability of pulling the different marble colors. 1. 2. R R R R 3. B W W B R B B B B A basketball player has a 70% free throw shooting average. The player goes up for a one-and-one free throw situation. a. What is the probability the player will score 0 points? 1 point? 2 points? 4. Determine the following using the dartboard: P(A) = P(B) = P(C) = Determine if each statement is dependent or independent. 1. Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die 2. Three winners are determined by drawing 3 names, one after another, without replacement, from a hat 3. Choosing a marble from a jar AND landing on heads after tossing a coin 4. Taking out a marble from a bag containing some marbles and not replacing it, and then taking out a second marble 5. Choosing a 3 from a deck of cards, replacing it, AND then choosing an ace as the second card 6. Rolling a 4 on a single 6-sided die, AND then rolling a 1 on a second roll of the die 7. Two balls are drawn, one after another, without replacement, from a bingo cage Chase placed 8 marbles, each numbered as shown, in a hat. He drew one marble at random, replaced it, and drew another. What is the probability that 2 1 5 8. both marbles are a 3? 9. the first was a 2, and the second draw was a 4? 10. the first draw was a 1, the second draw was a 3, and the third draw was a 5? 1 2 4 3 3 Anna placed 9 marbles, each numbered as shown, in a hat. She drew one marble at random and DID NOT REPLACE IT. She then drew another. What is the probability that 11. both marbles are even 12. both marbles are odd? 13. the first one is odd, the second is even? 1 5 5 6 2 2 3 4 8 In the maze below, John will pick a path at random. Use the grid to find a. the probability that John will enter room A. b. the probability that John will enter room B. B A On a six-question true-false test on which you guess the answers, what is the probability of getting a. a perfect paper? b. exactly 2 wrong? c. at most 1 wrong? Four pennies are flipped. What is the probability of getting d. two heads and two tails? e. one head and three tails? f. at least three heads? g. at most two tails? If five dice are tossed, what is the probability of getting h. five odd numbers? i. three odd and two even number? j. at most one odd number?