Best Response to the Discussions below

1st Discussion

To get a more accurate probability account, I flipped a coin 60 times in sets of 20s. For the first set of 20s I recorded 7 heads and 13 tails, which is a 35/65% probability. For the second set I got 8 heads and 12 tails, which is a 40/60% probability. For the last set, I got 10 heads and 10 tails, which is a 50/50 % probability. Overall, I flipped more tails than heads. From my experiment my probability of obtaining tails is higher than getting heads. After viewing my records of the 3 different totals from the experiment, I compared each total and percentage and came up with an overall probability total and percentage for tails. Experimental Probability: P(tails) = 12/20 = 60% Normally, the theoretical probability of obtaining tails is a 50/50 chance. However, after flipping the coin 60 times, I conclude the probability of getting tails is higher than the theoretical probability of 50%. The probability is 60% according to my experiments. I made this conclusion because for each coin flip experiment, I typically got more tails than heads. I believe there is room for uncertainty in mathematics. There are some cases or scenarios where it's impossible to get a definite answer, only an estimate or probability answer. Therefore, I don't believe probability is certain. Probability is only a possibility something may happen. For example, although for my experiments I got more tails than heads, there is a possibility I could get more heads than tails in another experiment. I believe probability and chance can be used interchangeably. After reading the definitions of both words I concluded they are very similar. Both probability and chance is the likelihood and possibility something will happen. However, I do believe probability means there is a greater possibility something will happen, while chance leaves us open to doubts. For the main part as a Christian, I don't believe nothing happens by chance, so I agree with the statement. As a Christian I believe God is always in control and plans everything. However, I do believe since we don't always know, understand or completely trust Gods plans, these uncertainty's leaves us open to doubt, and rely on probability and chance. The Bible says "My thoughts are not your thoughts, neither are your ways my ways," declares the LORD. "As the heavens are higher than the earth, so are my ways higher than your ways and my thoughts than your thoughts" (Isaiah 55:8-9 ESV). That being said, our perspectives relies on how much we trust the Lord. In a way I do believe the concepts of probability and/or chance are contradictory to a Christian worldview depending on the situation. As Christians, we are supposed to be strong believers, knowing that everything is in God's control, and nothing happens by chance. However, when we are unsure about certain things, such as if it's going to rain on a particular day etc, we can use probability and/or chance to determine these things. With this mindset we always know whatever happens, God is in control, while at the same time being prepared for what's to come.

2nd Discussion

The probability of getting tails will always be a 50/50 chance. I flipped the coin 20 times and got tails 9/20 times and got heads 11/20 times. P(tails)= 9/20 is 45%, The probabilities are different, but not much. They both could be trusted because they are so close in relation. The coin is still going to get flipped 20 times, the outcome of the flips may change, but there is still a 50/50 chance. There is no uncertainty in math, because math does not change. The probability will stay the same, which is a 50% chance you flip heads or tails. That chance is never going to change, because you will always have heads or tails. The words can be used interchangeably because you have a chance to flip one or the other, the same as if there is a probability you are going to get one or the other. I personally do not believe anything happens by chance. Yes, we have free will, but our free will is that "chance" of something happening. For example, you have the free will to do drugs. By you choosing that on your own free will, you will have the consequences of getting addicted. This is not a "what are the chances of you getting addicted," no it is you chose to do it so this happened, therefore it is not by chance that that will happen. I think there are times where chances and probability could be contradictory to a Christian. I say this because there are instances that may happen in life where it may seem to be a chance that something happened, but decisions in life do lead to other things. When you choose to go down a certain path in life/ make a certain decision on your own free will, there is not a chance that those decisions will have outcomes, they will.

3rd Discussion

Using your experiment, what is the probability of obtaining tails? Experimental Probability: P(tails) = _9___/20 = ___45___ % The theoretical probability is Theoretical Probability = Number of favorable outcomes / Number of possible outcomes. So in this case it is two. The probabilities in this case is different and the one that can be trusted is the experiment probability and that is 9/20. I feel like this is the most accurate because it was actually tested. I do not think in the case that there is any uncertainty. I feel like because it was actually tested then we have an accurate answer. I feel anything that is being tested is accurate. "The difference they share is that chance doesn't have any obviousness whereas probability exactly defines the ratio of how likely an event is to happen." I am sure chance is basically "luck." I believe that a lot of stuff is from God like everything happens for a reason. I do feel like "chance" in a Christian world is a contradiction I feel like its a contradiction because I feel like we say "luck" and not chance but all together it is the same thing.