which statement illustrates a simulation that could be used to generate samples of people on a game show…

which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door a, door b, or door c?\nflipping a coin and getting heads for door a or tails for door c.\nrolling a die; 1 or 2 represents door a, 3 or 4 represents door b, and 5 or 6 represents door c.\ncreating a spinner divided into 4 equal parts. label two parts door a, one part door b, and the third part door c.\ngo to the game show and collect data for a month on which doors people chose.

which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door a, door b, or door c?\nflipping a coin and getting heads for door a or tails for door c.\nrolling a die; 1 or 2 represents door a, 3 or 4 represents door b, and 5 or 6 represents door c.\ncreating a spinner divided into 4 equal parts. label two parts door a, one part door b, and the third part door c.\ngo to the game show and collect data for a month on which doors people chose.

Answer

Explanation:

Step1: Analyze coin - flip option

Flipping a coin only has 2 outcomes, while we have 3 doors (A, B, C), so it cannot simulate the situation.

Step2: Analyze die - roll option

Rolling a die has 6 outcomes. Assigning 1 or 2 for door A, 3 or 4 for door B, and 5 or 6 for door C gives each door an equal probability of $\frac{2}{6}=\frac{1}{3}$ of being selected, which can simulate the situation.

Step3: Analyze spinner option

A spinner divided into 4 parts will not give each door an equal probability of being selected as required for a fair simulation of people choosing among 3 doors.

Step4: Analyze data - collection option

Going to the game - show and collecting data is not a simulation but actual data collection.

Answer:

Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.