Question

An English teacher has equal numbers of fiction, literature, and poetry books. Each day, she randomly selects one book to read from. She designs a simulation to estimate the probability that the next three books she selects are all literature. Which simulation design could she use to estimate the probability?​

Answer 1

Using probability concepts, it is found that she could use a binomial distribution with $n = 3$ and $p = \frac{1}{3}$ to estimate the probability that the next three books she selects are all literature.

For each book she selects, there are only two possible outcomes, either it is a literature book, or it is not. The probability of a book selected being a literature book is independent of any other book, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

• x is the number of successes.

• n is the number of trials.

• p is the probability of a success on a single trial.

In this problem:

• Next three books selected, hence $n = 3$.

• She has an equal number of fiction, literature, and poetry books, hence, the probability of each book selected being a literature book is $p = \frac{1}{3}$

Hence, she could use a binomial distribution with $n = 3$ and $p = \frac{1}{3}$ to estimate the probability that the next three books she selects are all literature.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer 2

Answer:

Number Cube

Let 1, 6= Literature

Let 2, 4= Fiction

Let 3, 5= Poetry

Roll the cube 3 times, Repeat

It has to be equal probability for all three