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Indira drew 3 animals: an eagle, a snake, and a shark. She drew each animal twice, once with green eyes and once with red eyes. Ten students chose their favorite drawing. Three of them chose the shark with red eyes.

How many possible outcomes are there in the sample space of her experiment? Based on the results, what is the experimental probability that a shark with red eyes is not picked, written as a percent?
(PLEASE HELP!!)

Respuesta :

Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.

Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:

p = 7/10 = 0.7 = 70%.

Hence, there is a 70% experimental probability that a shark with red eyes is not picked.

For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.

More can be learned about probabilities at https://brainly.com/question/14398287

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