Question

vince makes 75% of his free throw attempts. he wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that he will make 6 of his next 7 free throw attempts. which spinner simulation uses an appropriate device and has the correct number of trials? a spinner divided into 2 congruent sectors, spun 6 times a spinner divided into 2 congruent sectors, spun 7 times a spinner divided into 4 congruent sectors, spun 6 times a spinner divided into 4 congruent sectors, spun 7 times

Explanation:

1. First, analyze the free - throw probability: Vince makes 75% of his free throws. 75% is equal to $\frac{3}{4}$. So we need a spinner that can represent a success (making the free throw) with a probability of $\frac{3}{4}$ and a failure with a probability of $\frac{1}{4}$. A spinner divided into 4 congruent sectors can represent this, where 3 sectors are for success and 1 for failure.
2. Then, analyze the number of trials: He wants to predict the probability of making 6 out of his next 7 free - throw attempts. So the number of trials (spins) should be equal to the number of free - throw attempts, which is 7.

Now let's analyze each option:

• Option 1: A spinner divided into 2 congruent sectors, spun 6 times. A spinner with 2 congruent sectors represents a 50 - 50 probability, which is not equal to 75% for success. Also, the number of spins (6) is not equal to the number of free - throw attempts (7).
• Option 2: A spinner divided into 2 congruent sectors, spun 7 times. A spinner with 2 congruent sectors represents a 50 - 50 probability, which is not equal to 75% for success.
• Option 3: A spinner divided into 4 congruent sectors, spun 6 times. The number of spins (6) is not equal to the number of free - throw attempts (7).
• Option 4: A spinner divided into 4 congruent sectors, spun 7 times. A spinner with 4 congruent sectors can have 3 sectors for success (making the free throw, probability $\frac{3}{4}$ or 75%) and 1 sector for failure (probability $\frac{1}{4}$ or 25%). And the number of spins (7) is equal to the number of free - throw attempts (7).

Answer:

a spinner divided into 4 congruent sectors, spun 7 times