question 1 - 8\nwhich experiments could have the following tree diagram as a sample space?\na card is drawn…

question 1 - 8\nwhich experiments could have the following tree diagram as a sample space?\na card is drawn from a deck that includes only cards with a, b, and c on the front. then, a fair coin is flipped.\na fair six - sided die, with a on two sides, b on two sides, and c on two sides, is rolled twice.\ntiles with the letters a, b, and c are drawn twice from a bag, with replacement.\na fair six - sided die, with the letters a, b, c, d, e, and f, is rolled twice.\na spinner with the letters a, b, and c on it is spun twice.

question 1 - 8\nwhich experiments could have the following tree diagram as a sample space?\na card is drawn from a deck that includes only cards with a, b, and c on the front. then, a fair coin is flipped.\na fair six - sided die, with a on two sides, b on two sides, and c on two sides, is rolled twice.\ntiles with the letters a, b, and c are drawn twice from a bag, with replacement.\na fair six - sided die, with the letters a, b, c, d, e, and f, is rolled twice.\na spinner with the letters a, b, and c on it is spun twice.

Answer

Explanation:

Step1: Analyze first option

Drawing a card then flipping a coin has 2 - stage with different sample - spaces for each stage, not two identical 3 - element sample - spaces as in tree - diagram.

Step2: Analyze second option

A six - sided die with A on two sides, B on two sides, and C on two sides rolled twice has a sample space where each roll has 3 possible outcomes (A, B, C) and the two - roll experiment matches the tree - diagram structure.

Step3: Analyze third option

Tiles with letters A, B, and C drawn twice with replacement has a sample space where each draw has 3 possible outcomes (A, B, C) and the two - draw experiment matches the tree - diagram structure.

Step4: Analyze fourth option

A six - sided die with letters A, B, C, D, E, and F has 6 possible outcomes per roll, not 3 as required by the tree - diagram.

Step5: Analyze fifth option

A spinner with letters A, B, and C spun twice has a sample space where each spin has 3 possible outcomes (A, B, C) and the two - spin experiment matches the tree - diagram structure.

Answer:

A fair six - sided die, with A on two sides, B on two sides, and C on two sides, is rolled twice. Tiles with the letters A, B, and C are drawn twice from a bag, with replacement. A spinner with the letters A, B, and C on it is spun twice.