Question

read the story.
on saturday, zoe is playing in the royal arena chess tournament. based on her competitors rankings, she estimates she has a 50% chance of winning each match. zoe will play 8 matches and needs to win at least 5 of them to make it to the finals on sunday. how likely is it that zoe will make it to the finals?
which simulation could be used to fairly represent the situation?
use a computer to randomly generate 5 numbers from 1 to 20. each time an odd number appears, it represents zoe winning a match.
create a spinner with 8 equal sections. color 3 sections red and the remaining sections blue. spin the spinner 8 times. each time the spinner lands on a blue section, it represents zoe winning a match.
roll a six - sided die 8 times. each time an even number appears, it represents zoe winning a match.

Explanation:

Step1: Analyze the probability of each option

• For the first option: The probability of generating an odd number from 1 - 20 is \(\frac{10}{20}=0.5\), but we need to generate 8 numbers (since there are 8 matches), not 5.
• For the second option: The probability of landing on a blue section is \(\frac{8 - 3}{8}=\frac{5}{8}=0.625

eq0.5\)

• For the third option: The probability of rolling an even number on a six - sided die is \(\frac{3}{6}=0.5\), and we roll the die 8 times (matching the 8 matches)

Answer:

Roll a six - sided die 8 times. Each time an even number appears, it represents Zoe winning a match.