An English teacher has equal numbers of fiction, nonfiction, 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 fiction.Which simulation design could she use to estimate the probability?A.Number cubeLet even number = fictionLet odd number = not fictionRoll the cube three times. Repeat.B.Random digits from 0 to 9Let 1, 2, 3 = fictionLet 4, 5, 6 = nonfictionLet 7, 8, 9, 0 = poetrySelect three random digits from 0 to 9. Repeat.C.Number cubeLet 1, 3 = fictionLet 2, 4 = nonfictionLet 5, 6 = poetryRoll the cube three times. Repeat.D.CoinLet heads (H) = fictionLet tails (T) = nonfiction or poetryToss the coin three times. Repeat.SUBMITarrow_backPREVIOUS
Question
An English teacher has equal numbers of fiction, nonfiction, 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 fiction.Which simulation design could she use to estimate the probability?A.Number cubeLet even number = fictionLet odd number = not fictionRoll the cube three times. Repeat.B.Random digits from 0 to 9Let 1, 2, 3 = fictionLet 4, 5, 6 = nonfictionLet 7, 8, 9, 0 = poetrySelect three random digits from 0 to 9. Repeat.C.Number cubeLet 1, 3 = fictionLet 2, 4 = nonfictionLet 5, 6 = poetryRoll the cube three times. Repeat.D.CoinLet heads (H) = fictionLet tails (T) = nonfiction or poetryToss the coin three times. Repeat.SUBMITarrow_backPREVIOUS
Solution
The best simulation design to estimate the probability would be option C.
This is because in option C, the number cube is divided into three equal parts, each representing a category of books (fiction, nonfiction, and poetry). This accurately reflects the situation, as the teacher has an equal number of each type of book.
In this simulation, rolling the cube three times would represent the teacher choosing three books. If the cube lands on 1 or 3 all three times, that would represent the teacher choosing three fiction books.
Repeating this process multiple times and keeping track of how often the cube lands on 1 or 3 all three times would give an estimate of the probability that the teacher chooses three fiction books in a row.
The other options (A, B, and D) do not divide the outcomes into three equal parts, so they would not accurately represent the situation.
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