Question

read the story.
at amps arcade, anne is about to play her favorite game, road dash. she comes in first place half of the time. if she comes in first place for every race in a tournament, she will get her name added to the winners board. anne will play a 4 - race tournament today. how likely is it that her name will be added to the winners board?
which simulation could be used to fairly represent the situation?
create a spinner with 10 equal sections, each labeled with a different number from 1 to 10. spin the spinner 10 times. each time it lands on an odd number, it represents anne coming in first place.
use a computer to randomly generate 4 numbers from 1 to 10. each time 4 appears, it represents anne coming in first place.
roll a six - sided die 4 times. each time an even number appears, it represents anne coming in first place.

Explanation:

• For the spinner option: There are 10 sections. The probability of landing on an odd number is \(P(\text{odd})=\frac{5}{10}=\frac{1}{2}\). But we need to consider 4 - race tournament, and the number of spins (10) is not relevant to the 4 - race situation.
• For the computer - generated numbers option: The probability of getting a 4 (assuming 4 represents first - place win) is \(P(4)=\frac{1}{10}

eq\frac{1}{2}\).

• For the die - rolling option: A six - sided die has 3 even numbers (\(2,4,6\)). The probability of rolling an even number is \(P(\text{even})=\frac{3}{6}=\frac{1}{2}\), and we roll the die 4 times (matching the 4 - race tournament).

Answer:

Roll a six - sided die 4 times. Each time an even number appears, it represents Anne coming in first place.