Question

sara flips a coin, and she wins if it lands on heads. if sara flips the coin 6 times, how likely is it that she gets at least one heads? which simulation represents this situation? a. flip a fair coin 6 times. each time it lands on heads, sara wins. b. create a spinner with 5 equal - sized sections. color 2 sections green (heads) and 3 yellow (tails). spin the spinner 6 times. each time it lands on green, sara wins. c. use a random number generator to pick a number between 1 and 3. if the number is 1, it represents sara getting heads. repeat this process 6 times.

Explanation:

Step1: Analyze the coin - flipping situation

The original situation is flipping a fair coin 6 times and winning if there is at least one head. A fair coin has 2 equally - likely outcomes (heads and tails).

Step2: Evaluate Option A

Flipping a fair coin 6 times is exactly the same as the original situation. Each coin - flip has 2 equally - likely outcomes (heads and tails), and we are interested in the event of getting at least one head in 6 flips.

Step3: Evaluate Option B

A spinner with 5 equal - sized sections where 2 are green (heads) and 3 are yellow (tails) does not have the same probability structure as a coin - flip. The probability of getting green on this spinner is $\frac{2}{5}$, while the probability of getting heads on a fair coin is $\frac{1}{2}$.

Step4: Evaluate Option C

A random number generator picking a number between 1 and 3 where getting 1 represents heads has a probability of $\frac{1}{3}$ for the "heads" event, which is different from the $\frac{1}{2}$ probability of getting heads on a fair coin.

Answer:

A. Flip a fair coin 6 times. Each time it lands on heads, Sara wins.