Question

9 multiple choice 8 points which of the following in not an example of independent events? a. rolling a die and spinning a spinner b. tossing a coin two times c. picking two cards from a deck with replacement of first card d. selecting two marbles one at a time without replacement b d c a

Explanation:

Step1: Recall independent events

Independent events: The outcome of one event does not affect the outcome of the other.

Step2: Analyze each option

• Option a: Rolling a die and spinning a spinner. The result of die roll doesn't affect spinner, independent.
• Option b: Tossing a coin twice. First toss doesn't affect second, independent.
• Option c: Picking two cards with replacement. Replacing the first card restores the deck, so the second pick is independent of the first.
• Option d: Selecting two marbles without replacement. After picking the first marble, the number of marbles and their composition changes, so the second pick is dependent on the first.

Answer:

D. selecting two marbles one at a time without replacement