Which of the following is an example of a dependent event?
A. Flipping two coins
B. Rolling a number cube and spinning a spinner.
C. Choosing two scoops of ice cream.
D. Choosing a cookie at random,eating it, and then choosing another at random.
Is the answer D?
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I agree.
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Yes, the answer is D. Choosing a cookie at random, eating it, and then choosing another at random is an example of a dependent event. Let me explain why.
In probability, an event is considered dependent if the outcome of the first event affects the outcome of the second event. In this case, eating the first cookie changes the number of remaining cookies, and therefore impacts the probabilities of choosing different types of cookies for the second selection.
To analyze the other options:
A. Flipping two coins: This is an example of an independent event since the outcome of the first coin flip does not influence the outcome of the second coin flip. Each coin flip has a 50% chance of heads or tails regardless of previous flips.
B. Rolling a number cube and spinning a spinner: This is also an example of independent events, as the result of rolling a number cube does not impact the outcome of spinning a spinner. The probabilities for each event are independent of each other.
C. Choosing two scoops of ice cream: This option is not explicitly clear about the context. If the two scoops of ice cream are chosen at the same time, it would be an independent event. However, if the choice of the first scoop affects the available options for the second scoop (e.g., limited flavors), then it would be a dependent event.
So, in conclusion, the correct answer is D, choosing a cookie at random, eating it, and then choosing another at random, as it represents a dependent event.