PLEASE RESPOND TO THIS POST BASED ON WHAT YOU THINK AND IF YOU AGREE WITH WHAT THEY POST ON THERE END. PLEASE RESPOND INDIVIDUALLY. THANK YOU SO MUCH. I WILL PUT SOME EXAMPLES OF OTHERS HOW THEY RESPOND TO IT.

1. What was your proportion of heads found in Step 1 (Hint: take the number of heads you observed and divide it by the number of times you flipped the coin). What type of probability is this?

In step 1, I flipped the coin 10 times and 5 times landed on heads. The proportion of heads was 1 out of 2. This would make it 50% probability. This would be an empirical probability since it's an experiment performed.

• How many heads would you expect to see in this experiment of 10 coin flips?

I would expect to see 5 heads in a 10 coin flip since the coin only has two sides (1/2) and 50 % probability.

• What was your proportion of heads found in Step 2 (Hint:, take the number of heads you observed and divide it by the number of times you flipped the coin) What type of probability is this?
  • In the second step, I flipped the coin 20 times and only 7 times it landed on heads. This made it (7/20) 35% Empirical probability. The theoretical probability would of still remained (1 head/ 2 side of a coin) 50%.
• How many heads would you expect to see in this experiment of 20 coin flips?

I expected to see the same 1/2 (10 heads/ 20 flips) but I ended up with 7 heads/20 flips on the second step.

• a proportions differ between our set of 10 flips and our set of 20 flips? Which is closer to what we expect to see?

The proportions was different. I expected to see about the same probability 1/2 from the first step but as we increased the flips, the empirical probability decreased the probability meanwhile with the lower flips (10) it was closer to the theoretical probability to 1/2.

2. What was your proportion of heads found in Step 1 (Hint:, take the number of heads you observed and divide it by the number of times you flipped the coin). What type of probability is this?

Step 1 - 5/10 or .50

I had a total of 5 heads out of ten-coin flips which is equivalent to or (5/10). This is an example of empirical probability because we took the number of times the head showed up divided by the number of the coin was flipped. In classical probability, we can already assume that there will be a 50/50 chance as there are only 2 sides of the coin which are head or tail.

1. How many heads would you expect to see in this experiment of 10-coin flips?

I was expecting to see about a 50/50 result in this experiment of 10-coin flips.

1. What was your proportion of heads found in Step 2 (Hint: To do this, take the number of heads you observed and divide it by the number of times you flipped the coin) What type of probability is this?

Step 2 - 12/20 or .60

In the 2^nd experiment, I had 12 heads out of 20-coin flips. This result is equivalent to .60 or (12/20). This is also an example of empirical probability.

1. How many heads would you expect to see in this experiment of 20-coin flips?

I was expecting to see either more heads or tails on a 20-coin flip,

1. a proportions differ between our set of 10 flips and our set of 20 flips? Which is closer to what we expect to see?

Yes, it is different. I think the more trials there are the more the possibility of having the empirical probability will approach the classical probability of the event. The proportion is different between 10 (5 out of 10) and 20 (12 out of 20) flips. I would think that the 20 flips would be closer to what we expect to see.

EXAMPLE RESPOND FOR #1

Hi,

Just like you, I was also expecting to see a 50% probability result in the 10-coin flips experiment. I agree with you that the proportions were different in both experiments. I think the number of trials in each experiment changes the probability of the results. I think the more trials there are the more the possibility of having the empirical probability will approach the classical probability of the event.

EXAMPLE RESPOND FOR #2

Hello,

I also got 5/10 = 50% empirical probability in the first step. On the second step, I ended up getting a lower percentage. I had 7/20 flips = 35% empirical probability. I also assumed it would be the same outcome of 1/2 since there is only 1 heads and 2 sides to a coin making it 50/50 chance and with a higher attempt of flipping the coin (20 times) that the empirical probability would be closer to the classical probability.