[
  {
    "Question": "What is the probability of rolling a sum of 7 with two six-sided dice?",
    "Answer": "C",
    "Explanation": "There are 6 possible outcomes that result in a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Since there are 36 possible outcomes when rolling two dice, the probability is 6/36 = 1/6.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Dice.png/1024px-Dice.png",
    "OptionA": "1/12",
    "OptionB": "1/8",
    "OptionC": "1/6",
    "OptionD": "1/4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Rolling a Sum",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "If a card is drawn from a standard deck of 52 cards, what is the probability of drawing a heart or a queen?",
    "Answer": "B",
    "Explanation": "There are 13 hearts and 4 queens in a deck. However, the queen of hearts is counted twice, so we subtract 1. The probability is (13 + 4 - 1) / 52 = 16/52 = 4/13.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Playing_card_heart_A.svg/200px-Playing_card_heart_A.svg.png",
    "OptionA": "1/4",
    "OptionB": "4/13",
    "OptionC": "1/2",
    "OptionD": "1/3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing a Heart or Queen",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "What is the probability of flipping two coins and getting at least one head?",
    "Answer": "A",
    "Explanation": "The possible outcomes are HH, HT, TH, TT. Only TT does not have a head. Therefore, the probability is 3/4.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/US_One_Cent_Obv.png/1024px-US_One_Cent_Obv.png",
    "OptionA": "3/4",
    "OptionB": "1/2",
    "OptionC": "1/3",
    "OptionD": "1/4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Flipping Coins",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "Two events A and B are independent. If P(A) = 0.5 and P(B) = 0.3, what is P(A and B)?",
    "Answer": "B",
    "Explanation": "For independent events, P(A and B) = P(A) * P(B) = 0.5 * 0.3 = 0.15.",
    "PictureURL": "",
    "OptionA": "0.05",
    "OptionB": "0.15",
    "OptionC": "0.30",
    "OptionD": "0.80",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Independent Events",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Probability/Independence"
  },
  {
    "Question": "What is the probability of drawing two aces in a row from a standard deck of cards without replacement?",
    "Answer": "C",
    "Explanation": "The probability of drawing the first ace is 4/52. After drawing one ace, there are 3 aces left out of 51 cards. So, the probability is (4/52) * (3/51) = 1/221.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Playing_card_spade_A.svg/200px-Playing_card_spade_A.svg.png",
    "OptionA": "1/169",
    "OptionB": "1/132",
    "OptionC": "1/221",
    "OptionD": "1/52",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing Two Aces",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Probability/Conditional Probability"
  },
  {
    "Question": "If the probability of event A is 0.7 and the probability of event B is 0.4, and they are mutually exclusive, what is P(A or B)?",
    "Answer": "C",
    "Explanation": "For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.7 + 0.4 = 1.1. However, probabilities cannot exceed 1, indicating a mistake in the problem setup.",
    "PictureURL": "",
    "OptionA": "0.3",
    "OptionB": "0.9",
    "OptionC": "1.1",
    "OptionD": "0.28",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Mutually Exclusive Events",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "What is the probability of drawing a red card from a standard deck of cards?",
    "Answer": "B",
    "Explanation": "There are 26 red cards (hearts and diamonds) in a deck of 52 cards. Therefore, the probability is 26/52 = 1/2.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Playing_card_heart_A.svg/200px-Playing_card_heart_A.svg.png",
    "OptionA": "1/4",
    "OptionB": "1/2",
    "OptionC": "3/4",
    "OptionD": "1/3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing a Red Card",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "If two events A and B are independent, and P(A) = 0.6, P(B) = 0.5, what is P(A or B)?",
    "Answer": "C",
    "Explanation": "For independent events, P(A or B) = P(A) + P(B) - P(A and B). Since P(A and B) = P(A) * P(B) = 0.6 * 0.5 = 0.3, P(A or B) = 0.6 + 0.5 - 0.3 = 0.8.",
    "PictureURL": "",
    "OptionA": "0.3",
    "OptionB": "0.5",
    "OptionC": "0.8",
    "OptionD": "1.1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Independent Events Union",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Probability/Independence"
  },
  {
    "Question": "What is the probability of drawing a king from a standard deck of cards?",
    "Answer": "A",
    "Explanation": "There are 4 kings in a deck of 52 cards. Therefore, the probability is 4/52 = 1/13.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Playing_card_heart_K.svg/200px-Playing_card_heart_K.svg.png",
    "OptionA": "1/13",
    "OptionB": "1/26",
    "OptionC": "1/52",
    "OptionD": "1/4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing a King",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "If the probability of event A is 0.2 and the probability of event B is 0.5, and they are independent, what is the probability that neither A nor B occurs?",
    "Answer": "B",
    "Explanation": "The probability that neither A nor B occurs is 1 - P(A or B). P(A or B) = P(A) + P(B) - P(A and B) = 0.2 + 0.5 - (0.2 * 0.5) = 0.6. Therefore, the probability that neither occurs is 1 - 0.6 = 0.4.",
    "PictureURL": "",
    "OptionA": "0.2",
    "OptionB": "0.4",
    "OptionC": "0.5",
    "OptionD": "0.6",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Neither Event Occurring",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Probability/Independence"
  },
  {
    "Question": "A bag contains 3 red balls and 2 blue balls. What is the probability of drawing two red balls without replacement?",
    "Answer": "C",
    "Explanation": "The probability of drawing the first red ball is 3/5. After drawing one red ball, there are 2 red balls left out of 4 balls. So, the probability is (3/5) * (2/4) = 3/10.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/36/Red_ball.svg/200px-Red_ball.svg.png",
    "OptionA": "1/5",
    "OptionB": "1/4",
    "OptionC": "3/10",
    "OptionD": "1/2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing Two Red Balls",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Probability/Conditional Probability"
  },
  {
    "Question": "What is the probability of rolling a 4 or a 5 on a single six-sided die?",
    "Answer": "B",
    "Explanation": "There are 2 favorable outcomes (rolling a 4 or a 5) out of 6 possible outcomes. Therefore, the probability is 2/6 = 1/3.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Dice.png/1024px-Dice.png",
    "OptionA": "1/6",
    "OptionB": "1/3",
    "OptionC": "1/2",
    "OptionD": "2/3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Rolling a 4 or 5",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "If event A has a probability of 0.3 and event B has a probability of 0.6, and they are mutually exclusive, what is the probability of both events occurring?",
    "Answer": "A",
    "Explanation": "For mutually exclusive events, the probability of both events occurring is 0 because they cannot happen at the same time.",
    "PictureURL": "",
    "OptionA": "0",
    "OptionB": "0.18",
    "OptionC": "0.3",
    "OptionD": "0.6",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Both Mutually Exclusive Events",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "A jar contains 5 red, 3 green, and 2 blue marbles. What is the probability of drawing a green marble?",
    "Answer": "B",
    "Explanation": "There are 3 green marbles out of a total of 10 marbles. Therefore, the probability is 3/10.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/36/Red_ball.svg/200px-Red_ball.svg.png",
    "OptionA": "1/5",
    "OptionB": "3/10",
    "OptionC": "1/2",
    "OptionD": "2/5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of Drawing a Green Marble",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Probability/Compound Probability"
  },
  {
    "Question": "If the probability of event A is 0.4 and the probability of event B is 0.7, and they are independent, what is the probability of at least one occurring?",
    "Answer": "C",
    "Explanation": "The probability of at least one occurring is P(A or B) = P(A) + P(B) - P(A and B). Since they are independent, P(A and B) = P(A) * P(B) = 0.4 * 0.7 = 0.28. Therefore, P(A or B) = 0.4 + 0.7 - 0.28 = 0.82.",
    "PictureURL": "",
    "OptionA": "0.28",
    "OptionB": "0.70",
    "OptionC": "0.82",
    "OptionD": "1.10",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Probability Practice Test",
    "Content Type": "Multiple Choice",
    "Title": "Probability of At Least One Event Occurring",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Probability/Independence"
  }
]