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? 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. 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. flip a coin 5 times. each time the coin lands on tails, it represents valentina guessing a card correctly.

Explanation:

Step1: Analyze success - rate

Valentina guesses correctly 90% of the time.

Step2: Evaluate first option

In generating numbers 1 - 10, 9 non - 10 numbers out of 10 gives 90% success rate for each guess.

Step3: Evaluate second option

Spinning a 10 - section spinner 9 times is not relevant as it doesn't match the 5 - judge scenario and the probability setup is wrong.

Step4: Evaluate third option

Flipping a coin has a 50% success rate per flip, not 90%.

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.