Quiz: Math 1, Unit 4, Section D

  1. What is the probability of rolling a 5 on a standard six-sided die?
    1. \frac{1}{5}
    2. \frac{1}{6}
    3. \frac{1}{3}
    4. \frac{1}{2}
  2. If two events are independent, how do you calculate the probability of both events occurring?
    1. Add the probabilities of each event
    2. Multiply the probabilities of each event
    3. Subtract the smaller probability from the larger one
    4. Divide the probability of one event by the other
  3. What is the probability of drawing a red card from a standard deck of 52 playing cards?
    1. \frac{1}{4}
    2. \frac{1}{2}
    3. \frac{1}{3}
    4. \frac{1}{6}
  4. What is the sum of the probabilities of all possible outcomes of an event?
    1. 1
    2. 0
    3. 0.5
    4. Depends on the event
  5. What is the rule of addition used for in probability?
    1. Calculating the probability of the union of two events
    2. Calculating the probability of the intersection of two events
    3. Calculating the probability of independent events
    4. Calculating the probability of conditional events
  6. Consider a bag with 4 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a blue marble?
    1. \frac{3}{9}
    2. \frac{2}{9}
    3. \frac{4}{9}
    4. \frac{1}{3}
  7. In a probability simulation, what is the purpose of repeating the experiment multiple times?
    1. To decrease the probability
    2. To increase the probability
    3. To obtain a representative sample of outcomes
    4. To eliminate all outliers
  8. Which of the following is an example of a dependent event?
    1. Rolling two dice
    2. Flipping a coin and drawing a card
    3. Drawing two cards from a deck without replacement
    4. Tossing a coin twice
  9. What is the purpose of using Monte Carlo simulations?
    1. To simulate deterministic events
    2. To estimate probabilities through repeated random sampling
    3. To solve linear equations
    4. To analyze categorical data
  10. Which online tool is known for providing interactive simulations for math and science, including probability experiments?
    1. Excel
    2. GeoGebra
    3. Google Sheets
    4. SPSS