Question

read the story. valentina is trying out for lynfield countys talent show. she wants to do a magic act for the show and plans to do a difficult card trick to impress the 5 judges. when she practices the trick, she guesses the correct card 90% of the time. how likely is it that valentina can guess all 5 of the judges cards correctly? which simulation could be used to fairly represent the situation? flip a coin 5 times. each time the coin lands on tails, it represents valentina guessing a card correctly. create a spinner with 10 equal - sections. color 1 section red and the remaining sections black. spin the spinner 9 times. each time the spinner lands on a black section, it represents valentina guessing a card correctly. use a computer to randomly generate 5 numbers from 1 to 10. each time any number besides 10 appears, it represents valentina guessing a card correctly.

Explanation:

Step1: Analyze the probability of the real - life event

Valentina guesses the correct card 90% of the time. We need a simulation with a 90% probability of a successful outcome for each trial.

Step2: Analyze each option

• Option 1: Flipping a coin has a 50% chance of tails, so it doesn't represent a 90% chance.
• Option 2: A spinner with 10 equal sections, 1 red and 9 black. The probability of landing on a black section is $\frac{9}{10}=90\%$, but we need to spin 5 times for 5 judges, and this option has a wrong number of spins.
• Option 3: Using a computer to randomly generate 5 numbers from 1 - 10. The probability of getting a number besides 10 is $\frac{9}{10}=90\%$ for each number generation, which can represent Valentina's 90% success rate for each of the 5 judges' cards.

Answer:

Use a computer to randomly generate 5 numbers from 1 to 10. Each time any number besides 10 appears, it represents Valentina guessing a card correctly.