Question

four students are determining the probability of flipping a coin and it landing heads up. each flips a coin the number of times shown in the table below. table: student (ana, brady, collin, deshawn); number of flips (50, 10, 80, 20) which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads - up landings? options: ana, brady, collin, deshawn

Explanation:

Step1: Recall the Law of Large Numbers

The Law of Large Numbers states that as the number of trials (coin flips, in this case) increases, the actual results (number of heads) will get closer to the expected results (probability of heads, which is \( \frac{1}{2} \) for a fair coin).

Step2: Analyze the number of flips for each student

• Ana: 50 flips
• Brady: 10 flips
• Collin: 80 flips
• Deshawn: 20 flips

Among these, Collin has the highest number of flips (80), so according to the Law of Large Numbers, his actual number of heads is most likely to be close to the predicted number (since more trials reduce the impact of random fluctuations).

Answer:

Collin