Question

When simulating a compound event by rolling a number cube and flipping a coin, does it matter which one is done first? Explain your answer.
A) No, the outcome of the coin affects the outcome of the number cube,
B) Yes, the number cube must be rolled first because it has more outcomes.
C) Yes, the coin must be flipped first because it has fewer outcomes.
D) No, the outcome of one does not affect the outcome of the other.

Answers

  1. Answer:
    D) No, the outcome of one does not affect the outcome of the other.
    Step-by-step explanation:
    SOLUTION

    Given the question in the question tab, the following are the solution steps to answer the question
    •  STEP 1: Define Compound events
    A compound event is one in which there is more than one possible outcome. Determining the probability of a compound event involves finding the sum of the probabilities of the individual events and, if necessary, removing any overlapping probabilities. Compound events can be dependent or independent. When two events are independent, they have no relation to each other and they do not affect each other. When two events are dependent, one event depends on the other.

     

    • STEP 2: State the type of compund event given in the question.

    The given event is independent because the outcome of rolling a number cube does not affect the outcome of flipping a coin.

     

    • STEP 3: Choose the right options

    From the explanation above, it can be concluded that the outcome of one does not affect the outcome of the other since they are independent of each other.

    Hence, the correct option is “No, the outcome of one does not affect the outcome of the other”. Option D.
    • Hope this Helps!
    • Have a wonderful Day!


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