Madison tossed a coin 50 times and recorded which side it landed on, with the results shown below. If she were to toss the coin 1,000 more times, would the frequencies get closer to evening out?
Side Frequency
Heads 31
Tails 19
To determine if the frequencies would get closer to evening out with 1,000 more tosses, we can first calculate the current proportion of heads to tails:
Heads: 31/50 = 0.62
Tails: 19/50 = 0.38
This means that currently, 62% of the tosses resulted in heads and 38% resulted in tails.
If Madison were to toss the coin 1,000 more times, we would expect the proportion to get closer to the expected 50/50 distribution for a fair coin. However, it is still possible that there could be variation due to chance.
After 1,000 more tosses, we would expect the numbers to be closer to 500 heads and 500 tails. Any deviations from this would likely get smaller as the number of tosses increases.
In conclusion, with 1,000 more tosses, the frequencies of heads and tails would likely get closer to evening out and more closely reflect a 50/50 distribution, but there may still be some variation due to chance.