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Lesson 6: Find Probabilities of Compound Events — Practice Questions

  1. 1. A standard six-sided die is rolled and a coin is flipped. What is the probability of rolling an even number and getting heads? Express your answer as a simplified fraction. ___

  2. 2. Two standard six-sided dice are rolled. What is the probability that the first die shows a 5 and the second die shows a number less than 4? Express as a simplified fraction. ___

  3. 3. A bag contains 3 marbles (red, green, blue). A card is randomly drawn from a set of 5 cards numbered 1 to 5. What is the probability of drawing a green marble and an odd-numbered card?

    • A. 1/15
    • B. 3/15
    • C. 1/5
    • D. 3/5
  4. 4. A coin is flipped and a number from 1 to 10 is chosen at random. What is the probability of getting tails and choosing a number greater than 7? Express as a simplified fraction. ___

  5. 5. A lunch special offers a choice of 3 sandwiches (chicken, beef, veggie) and 2 drinks (soda, water). If a meal is chosen at random, what is the probability of getting a beef sandwich and a soda? ___

  6. 6. A fair coin is tossed three times. The probability of getting exactly two tails is ___. (Enter your answer as a fraction)

  7. 7. A standard 6-sided die is rolled and a coin is tossed. What is the probability of rolling an even number and getting heads?

    • A. 1/2
    • B. 1/4
    • C. 1/6
    • D. 1/12
  8. 8. A spinner with 4 equal sections labeled A, B, C, and D is spun once, and a fair coin is tossed once. The total number of possible outcomes is ___.

  9. 9. A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 5 and tossing heads? Enter your answer as a fraction: ___.

  10. 10. A spinner with 5 equal sections (1, 2, 3, 4, 5) is spun and a coin is tossed. The probability of spinning an odd number and tossing tails is ___. (Enter your answer as a fraction)