Which of the following is an example of independent events?

D. Rolling a 6 on the number cube and spinning a 7 on the spinner.

This is assuming that neither device touches one another when being used. The outcome of the dice will have a probability 1/6 since there is 1 side we want out of 6 total. The spinner's probability is 1/n where n is the number of sections (each section being equal in area).

Choices A and B are dependent events because of the phrasing that the item is not put back. The second selection's probability will be altered if you do not replace the first selection. So we can rule these out.

Choice C is dependent because if you own cows, then you are most likely on a dairy farm. The same is even more true in reverse because a dairy farm is defined to be one where cows are present to produce dairy products. If you know one event is true, then it leads to a higher probability the other event is true. One event is linked to the other.

astronomers is your final answer! : )

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