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Lesson 2: Probabilities of Multi-step Events — Practice Questions

  1. 1. A spinner has 4 colors (Red, Green, Blue, Yellow) and a coin is flipped. What is the total number of possible outcomes in the sample space? ___

  2. 2. A lunch special includes a sandwich (Turkey, Ham, Veggie) and a side (Fries, Salad). An area model for this situation would have ___ cells representing the total sample space.

  3. 3. An experiment consists of flipping two fair coins. Using an area model, the probability of getting two heads (H, H) is ___.

  4. 4. A 4-sided die (1, 2, 3, 4) is rolled and a coin is flipped. What is the probability of rolling a prime number (2 or 3) and flipping tails? The probability is ___.

  5. 5. A spinner has sections A, B, C, D. A second spinner has sections 1, 2, 3, 4, 5. What is the probability of landing on a vowel and an even number? The probability is ___.

  6. 6. Two standard six-sided dice are rolled. Using a $6 \times 6$ area model, the probability that both dice show a number greater than 4 is ___.

  7. 7. A cafe offers 3 types of bagels and 4 types of cream cheese. If a customer chooses one bagel and one cream cheese, how many different combinations are possible? The total number of combinations is ___.

  8. 8. A tree diagram is made to show the outcomes of flipping a coin twice. How many final branches, representing the total number of outcomes, will the diagram have?

    • A. 2
    • B. 4
    • C. 6
    • D. 8
  9. 9. A spinner has 4 equal sections labeled 1, 2, 3, and 4. A standard six-sided die is rolled. How many total outcomes are in the sample space for spinning the spinner and rolling the die? The total is ___.