Question

read the story. quartz crusade is abduls favorite video game. each level in the game is a new cave full of hidden gems. 70% of the time, abdul completes a level on his first try. he wants to complete 3 levels today. how likely is it that abdul will complete all of them on his first try? which simulation could be used to fairly represent the situation? flip a pair of coins 3 times. each time at least one coin lands on tails, it represents abdul completing a level on his first try. create a deck of 20 cards, each labeled with a different number from 1 to 20. pick a card, then return it to the deck, 10 times. each time a number greater than 6 appears, it represents abdul completing a level on his first try. use a computer to randomly generate 3 numbers from 1 to 10. each time a number greater than 3 appears, it represents abdul completing a level on his first try.

Explanation:

Step1: Calculate probability of success

The probability that Abdul completes a level on his first try is 70% or 0.7.

Step2: Analyze first simulation

When flipping a pair of coins, the probability of at - least one tail is $\frac{3}{4}= 0.75
eq0.7$.

Step3: Analyze second simulation

In a deck of 20 - card simulation, the probability of picking a number greater than 6 is $\frac{14}{20}=0.7$, but we pick 10 times instead of 3 times for 3 levels.

Step4: Analyze third simulation

When generating a number from 1 to 10, the probability of getting a number greater than 3 is $\frac{7}{10} = 0.7$, and we generate 3 numbers which is consistent with the 3 - level situation.

Answer:

Use a computer to randomly generate 3 numbers from 1 to 10. Each time a number greater than 3 appears, it represents Abdul completing a level on his first try.