You just conducted an experiment using probability.
1) Was your initial conjecture close to the actual results? Why do you think it was or wasn't?
2) What did this experiment have to do with Theoretical and Experimental Probability?
3) What was the purpose of this activity? What were you supposed to learn?
1) Was your initial conjecture close to the actual results? Why do you think it was or wasn't?
2) What did this experiment have to do with Theoretical and Experimental Probability?
3) What was the purpose of this activity? What were you supposed to learn?
1) We predicted that it would be an even chance of winning, and we were correct as we both won 25 games each. The reason it might have been so even was due to the fact that our game required a lot of spinning again and that may have adjusted our results.
ReplyDelete2) It is to show that usually results aren't the same as they are when mathematically solved due to luck/chance. On the other hand, we both won 25 games as we had guessed.
3) The purpose of the activity was so that we could see the difference between theoretical and experimental probability.
1) We predicted that it would be an equal chance of winning. This was exactly the same as the final result because we both won 50%. This was probably because we shaked many times and eventually the percentage just got closer and closer to 50.
ReplyDelete2) For us, the theoretical and experimental probability was exactly the same. Theoretical probability is the mathematical probability, while experimental probability is about luck and chance.
3) The purpose of this activity was for us to learn the difference between theoretical and experimental probability and how they relate.
It was very close, because our chances were equal at 50%. In the first one, I only beat Ray by 4 points, ending up with me winning 52 and him winning 48.
ReplyDeleteIn the second one, Ray beat me by only one point, with him getting 51 and me 49. It makes sense that it was close, because the probability was equal, but it was unlikely that it would remain the same
We calculated our theoretical probability before, but we again found that the experimental probability was not the same as the theoretical probability.
We practiced calculating the theoretical probability and we learned that it was different to the experimental probability.
I started off winning four times in a row, but slowly the line on my graph showed me that it was slowly going to the middle towards 50%. The theoretical probability of winning this game was 50% so we fulfilled our guess. When we carried out the experiment, it gave a zigzagged line going towards the 50% mark from the 100% mark. The first trial we did, there was only 50% chance of winning or losing, but as we got to the 50th trial, the chance was still the same but there was no way of getting back toward the 100% chance.
ReplyDelete1) Yes it was because my initial conjecture was only 3 wins away from the actual results, I think this was because at the end when you do a hundred trials your prediction (if you based it off the probability) should be close to the theoretical probability.
ReplyDelete2) This experiment had something to do with experimental and theoretical probability because they theoretical probability was for me to win 75 times out of a hundred but I won 78 times out of a hundred which is experimental probability.
3) The purpose of this activity was for us to understand about and the differences between experimental and theoretical probability and it was fun :)
1.My initial conjecture was an even chance, because the ideal outcome for me would be to roll a single dice, and not get a prime number. Since there are 3 prime numbers on the dice which has 6 possible outcomes, the 3 numbers that are not prime: 1,4 and 6 will have the same chance as 2,3, And 5, the prime numbers. So, in theory, the chance would be even.
ReplyDelete2.This experiment has to do a lot with Theoretical and Experimental probability. The start of the experiment was calculating and estimating how many times you would win, based on your calculation, and then you did the experiment, depicting experimental probability. I won 51 times in 100 tries, but theoretically, I should have won 50. We also found that the person who rolled was more likely to win, which couldn’t be calculated.
3.The purpose of this activity was to gain insight into the differences between Theoretical and experimental Probability. For example, Theoretical probability stated that I would win 50 times out of 100. However, after the experiment was carried out, the Experimental probability stated that I won 51 times out of 100. Analyzing that data, we can state that the Theoretical probability is not always the same as the experimental probability
My initial conjecture was quite close for both games. Theoretically, the probability of me winning is 50% chance although during the experiment, it was different, on the first game, I won by 44 and for the second game, I won by 58. As we played for a longer period of time, our scores started to balance, although I did not win by 50%. The purpose of this activity was to understand the difference between theoretical and experimental probability.
ReplyDelete1)We predicted that I would have a 1/4 chance of winning. We weren't exactly correct but we were close. Out of a 100 i won 22 games, 3 games away from 1/4. This might have happened due to the differences between experimental and theoretical probability.
ReplyDelete2) Well, our theoretical probability was that i would have 25 wins and Will would have 75. Our experimental probability said otherwise, with me having 22 wins and Will having 78. Theoretical is the mathematical probability while Experimental is what actually happens.
3) The purpose is to get a better understanding of the differences between Theoretical and Experimental probability.
Game: If I rolled a prime number, I would win. Since the prime numbers on a die are 2,3 and 5 and there are 6 numbers on the die, I had an even chance of winning.
ReplyDeleteMy initial conjecture was close to the actual results because our prediction was that winning was an even chance (Fifty times each) and we were very close to that.
Theoretically, we would each win 50 times out of 100 since out of six numbers on the die, we each had three numbers on the die to win. We played our game and experimented whether out prediction was correct. I won 49 times and my partner won 51 times so our prediction was very close.
The purpose of this activity was to find out the difference between theoretical and experimental probability. We were supposed to learn this through playing a game with dice. Theoretical probability is taking a guess based on the information that you have, and that might not be exact. Experimental probability is actually doing the activity and finding out the exact probability.
My initial conjecture was not too close to the actual results. I had a 75% chance of winning and Mr Jobe's chance of winning was 25%. Once we had done fifty trials however it was Mr Jobe had actually won 32% of the time. This was an unlikely result but it was possible anything could have happened because it was not impossible. In this experiment we had to figure out the theoretical probability. This meant that the experimental probability should have been close to the theoretical probability though it does not have to. One of the purposes of this activity was for us to realise that even though the theoretical probability should be close to the experimental probability it does not mean that it will even though there is a higher chance.
ReplyDelete1) Me and my partner had both predicted that we would have a 50% chance of winning. During the game we had to roll the dice many times and i think the chances of winning got either a lot lower from the start or a bit closer to 50, it varies.
ReplyDelete2) We estimated that the theoretical probability was a 1/2 chance. The experimental probability of what actually happened was I got 20 and Caitlin got 30. The theoretical probability is not always the exact same as what actually ends up happening, the experimental probability in this game was a bit out of chance.
3) I think that the purpose of this activity was realize/notice the difference and how experimental probability and theoretical probability, also how theoretical and experimental probability are connected to each other.
My initial prediction was an even, 50/50 chance. The results were 30 to me and 20 to my partner, It was quite close to being even. The experiment had a lot to do with theoretical and experimental probability. Theoretically we both should have gotten 25. Theoretical probability is what should happen but experimental probability is what does happen. The purpose of this activity was to notice the difference between experimental and theoretical probability. I learnt that experimental and theoretical probability are not always the same but they sometimes relate.
ReplyDeleteYes my initial conjecture was close to the actual results. I think that is was close as the game was a fifty, fifty chance and it was very close game but in the end there was something that changed and I won by 1 point. This game, has a lot to do with theoretical probability as the theoretical probability was an even chance and we ended getting very close scores. I think that the purpose of this activity was to make us learn that the actual score will be close to the theoretical probability.
ReplyDeleteIn our theory we thought that there would be a 50% chance for each of us as there were 36 different outcomes and each of us had either chosen even or odd.
ReplyDeleteThis experiment is related to theoretical and experimental probability as we had to think of a theory the carry it out. I won in the second round even thought the probability was the same.
The purpose of this activity was to practice and find the difference between theoretical and experimental probability.
1) My conjecture was close to the results. I think this is because my conjecture was an educated guess.
ReplyDelete2) We had to find the Theoretical Experiment and then the Experimental Probability
3) The purpose of this activity was to know the relationship between Theoretical Probability and Experimental Probability. We also had to know that they wouldn't always have the same answer.
Me: P(3 or 5) = 2/6 = 1/3
ReplyDeleteSara: P(1,2,4 or 6) = 4/6 = 2/3
I guessed that out of the 50 trials I would get 1/3 chance. On the first 50 I got 42% (21 Wins) and I lost. But on the next game Sara got 66% which was what we guessed she would get and I got a close 34%.
This had to do with theoretical and experimental probability because we first made an educated guess which was our theoretical (1/3 chance of winning for me). Experimental probability was when we started playing and moving our dots around. I found that the more trials you have the closer it gets to your theoretical probability.
The purpose of this game was to find out how to play a fair game or to see if even though it wouldn’t be a fair game you would still get the answer you were looking for. I think that you were supposed to learn that you should not just play one game with lots of trials which is good but also more than one game with many trials.
1) My conjecture was almost the same as my actual answer. I think that I was just unlucky to get less than expected since I was supposed to win 3/4 of the time.
ReplyDelete2)This experiment had to do with Theoretical and Experimental Probability because we had to calculate the probability of winning before actually playing,
3) The purpose of this activity was to know the rlationship between Theoretical and Experimental Probability. How they are not always the same because luck can also come along and change your results and there is no way to calculate luck.
My partner (Arthur) and I decided that if I roll an even number or a one, I win but if he rolls an odd number he wins. Since this game is unfair, there is 66% chance of me winning (out of a 100) and 34% of Arthur winning. Our first round, I won 29 times while he won 21 times. On our next round, I won 37 times and he won 13 times. My guess that I will win 66 times out of a 100 was correct. My partner guessed that he will win 34 times out of a 100 but he won 33 times which was close however not as close as mine.
ReplyDeleteThis experiment has to do with theoretical and experimental probability because we had to figure out our theoretical probability and also our experimental probability. I think the purpose of this activity was to have fun however, learn that the theoretical probability and your experimental probability is not always the same.
ReplyDeleteYes, my first estimate was close to the actual results, my estimate was that I would get 40 wins, but I got 45 wins. Me and Krish calculated the probability of either one of us winning and the odds were more favorable towards him. He had a 5/9 chance of winning while I had a 5/9 chance of winning.
Theoretical probability is what should happen, which we calculated before. Experimental probability is what actually happened, which we played the game and recorded.
The purpose of this activity was to learn the difference between theoretical probability and experimental probability and compare the two.
Was your initial conjecture close to the actual results? Why do you think it was or wasn’t?
ReplyDeleteMy first conjecture was actually very close to my actual results, My results were only 5 below my estimate, I think it was close because I knew that my probability of winning was 5/9 and therefore I thought it would be a little higher that 50% (half way).
2) What did this experiment have to do with theoretical and experimental probability?
I think this game was suppose to show us the difference between theoretical probability and experimental probability, by showing us how theoretical probability means what you should get, and it is to show if a game is fair or not, this game uses theoretic probability when we predict how many favorable outcomes we wanted out of the amount of outcomes. Experimental probability is when we finished playing the game and saw how much the actual outcome was.
3) What was the purpose of this activity? What were you supposed to learn?
The purpose of this activity was so that we could learn the difference between theoretical probability and experimental probability, it was also so that we could practice getting probabilities and then comparing & analyzing them against the experimental probability
I have learned a lot about inequalities that I didn’t know before, and I learned how it connects to algebra. I learned about writing inequalities, as I knew almost nothing about inequalities before this. I also learned a lot about probability, like learning how to calculate it, and lots of the things we have learned this year have been new to me. I didn’t know anything at all about tree diagrams or sample spaces before starting probability, and now I feel confident doing them. I have learned a lot of new things so far during this year.
ReplyDeleteMr. Jobe does use a lot of different variations, from worksheets on paper and online, to collaborative work on the board, and shared keynotes and websites that we work on. I like doing some work on the board, and I like when we do games and practical work that are fun and at the same time enhance our understanding. I don’t much like the worksheets where they just ask you a question and ask you to answer them, I like sheets like The Inequaliser where you see how the topic we are learning can apply to the real world.
I do feel challenged sometimes, but in a good way. It’s not that I can’t do the work, but some problems are more complex than others, which is good practice. I am not challenged too much, but not everything is very easy, so it is a good balance between easy and hard.