Ch 12 Probability Concepts by Jennifer Walker

Ch 12 Probability Concepts by Jennifer Walker https://padlet.com/jwalker105/3bdrxjvtkhayo4iq Ch 12 Vocabulary en-us 2020-12-01 17:48:49 UTC 2025-12-30 14:00:53 UTC hello@padlet.com Today you are going to write about your prior knowledge about Probability Concepts. jwalker105 https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/976782028 You need to explain your understanding of these vocabulary terms:

1. trials/experiments
2. outcomes
3. sample space
4. theoretical probability
5. experimental probability
6. independent events
7. dependent events
8. probability of an event.

Instructions:
Search the internet or use Big Ideas book glossary/ch 12 to remember as many of the vocabulary terms as you have learned in past math classes.

Write two paragraphs (8 - 10 sentences total) explaining the terms and how they are used in situations representative of Probability. You can tell a story using these terms, and it can be factual or made-up.

Your work will be graded on how well you implement this vocabulary into your explanation and the overall focus of your writing.]]> 2020-12-01 17:51:01 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/976782028 Meirabella Servin https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977807072 Trails/experiments: A single run of an experiment.
Outcomes: The possible result of a probability experiment.
Sample Space: The set of all possible outcomes for an experiment.
Theoretical Probability: The ratio of the number of favorable outcomes to the total number of outcomes when all outcomes are equally likely.
Experimental Probability: The ratio of the number of successes, or favorable outcomes, to the number of trials in a probability experiment.
Independent Events: Two events in which the occurrence of one event does not affect the occurrence of another event.
Dependent Events: Two events in which the occurrence of one event does affect the occurrence of the other event.
Probability of an Event: A measure of the likelihood, or chance, that an event will occur.

You and your family are playing a board game where you roll two die or what is better known as a trial/experiment. You roll 5 and 5 on both or what is also known as the outcome of rolling them. However, the sample space could have been any of the other numbers on the die because you could have got any of those outcomes. The theoretical probability when you roll the die once is what is expected when rolling them such as rolling an 8 is 5 times out of 36 rolls.

In another board game you play with your friends instead this time you roll one die where the experimental probability is 6 possible outcomes when rolling the die itself once. However, the next time it's your friends turn but you lost the die so she uses a spinner with numbers on it which is also known as an independent event because it does not affect your turn last time. Soon after you find the die where your friend rolls it twice instead of once which is known as a dependent event because it affects everyone else's plays. Therefore, the probability of this event when you play the game is higher for your friend to win who rolled twice because she cheated and got farther than you and your other friends.

]]> 2020-12-01 21:47:12 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977807072 Donovan Umeki donovanume https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977814287 Trials/experiments are series of test that are done repeatedly until there is a good amount of collective data to make a statistical analysis. Say you flip a coin 100 times and land tails 32 times and heads 68 times, that is an outcome. You can do the trial 3 times and get different outcomes. After you have flipped the coin after the 3 trials, you can take all your outcomes and collect them together into a sample space. A sample space is to gather all your diffent outcomes, sometimes event space will come into play. When you flip the coins, you expect to get 50/50 results, but this is not the case, this is called theoretical probability. Instead you get experimental probability, which is the actual probability results you get when the experiment is done. Probability of an event is when your expected results may be expected do to the outcomes of the results prior to this experiment. If you were to get heads 100/100 times, which would be impossible, then you would probably expect to keep getting heads. Dependent events are events that change do to the prior outcomes. If you had 5 quarters and 5 pennies in a bag and pulled out 3 pennies then the probability of pulling a quater has gotten higher.]]> 2020-12-01 21:49:56 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977814287 Garrett J https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977815458 1.Trials/experiments:is that trial is an opportunity to test something out; a test while experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy of something previously untried.2.outcomes:the way a thing turns out; a consequence.3.of an experiment or random trial is the set of all possible outcomes or results of that experiment.4.for example when I flip a coin 100 times I expect tails to come up 50 times and heads to come up 50 times. The theoretical probability is 0.5 for a head.5:Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.6:A coin does not "know" it came up heads before.7:An event that is affected by previous events. Example: removing colored marbles from a bag.8:The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.]]> 2020-12-01 21:50:22 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977815458 Jordan L jordanlam1 https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977817258 A trial/experiment is a test in which the probability of an event can be based on theoretical probability, which is essentially using pattern to say a coin toss will be 50/50, and experimental probability is when you gather information from trials and experiments to say the coin has landed heads 80 times, and landed tails 20 times, so it's actually a 80/20 chance. A sample set is the way of keeping track of all possible outcomes. Independent and dependent events are confusing, so basically in dependent A >>> B, A affects B in whatever happens, independent A >/> B, A does not affect B. Or I at least hope thats what it is.]]> 2020-12-01 21:51:06 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977817258 Ch 12 Probability Concepts - Sean Pence seanpen https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977822205 1. An experiment or trial is an procedure that can be infinitely repeated and have a well-defined set of possible outcomes, know as the sample space.

2. An outcome is a result of an event that depends on probability, and any event can have more than one possible outcome.

3. The sample space of an experiment or random trial is the set of all possible outcomes or result of that experiment.

4. Theoretical probability is expected; for example, when I flip a coin 100 times, I expect tails to come up 50 times and heads to come up 50 times. The theoretical probability is 0.5 for a head.

5. Experimental probability is the actual result of an experiment, which may be different from the theoretical probability.

6. Two events A and B, are said to be independent if one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are dependent.

7. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are dependent.

8. The probability of an event is the likelihood of that event occurring.]]> 2020-12-01 21:53:00 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977822205 stevencar https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977822592 1.Trials/Experiments determine the probability of a question. 2. Outcomes are the result of a experiment/trial . 3. Sample space is the set of all possible outcomes for an experiment. 4.Theoretical probability is the probability of a event turning one way or another. 5. Experimental probability is based on repeated trials. 6.Independent events is when the occurrence of one event does not affect the occurrence of another event. 7. Dependent events are events that are affected by another event. 8. The probability is the chances of an event being affected by another event.]]> 2020-12-01 21:53:10 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977822592 kiraber https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977828878 1. A trial/experiment are tests that have different outcomes and can be infinitely repeated which is called the sample space.

2.An outcome is the way the trial/experiment turns out. So if you flip a coin you get a 50/50 chance of getting tails. That is an outcome.

3. The sample space is the set outcome of a trial/experiment.

4. The theoretical probability is what you expect to happen.

5. Experimental probability is what actually happens in the experiment and can differ from your theoretical probability.

6. Independent events happens when the outcome of one trial does not affect the other outcomes.

7. Dependent events happens when the outcome of one trial does affect the other outcomes.

8. Probability of an event is the prospect of that event happening.]]> 2020-12-01 21:55:38 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977828878 Probability concepts robertmur https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977830318 1.In probability theory, an experiment or trial is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space
2.A outcome is what you get after the experiment or trial. Like you flipping a coin, there is a 50/50 chance of you getting heads or tails. Your outcome of flipping the penny (the event) could be heads or tails. So, we can say that there are two possible outcomes for this event. Each outcome is sometimes different, they could change to a new number or stay the same.
3. sample space is a experiment or random trial having a set of outcomes.
4.Theoretical probability is a probability that is expected, for example when I flip a coin 100 times I expect tails to come up 50 times and heads to come up 50 times. The theoretical probability is 0.5 for a head.
5.Experimental probability is the actual result of an experiment, which may be different from the theoretical probability.
6.In probability, two events are independent if the incidence of one event does not affect the probability of the other event. If the incidence of one event does affect the probability of the other event, then the events are dependent.
7. An event that is affected by previous events.
8. The probability of events is when the event is happing.]]> 2020-12-01 21:56:14 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977830318 Angel Salinas https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977839094 Trial a test or trying out something . Experiment trying something and see the outcome. Outcome the turn out of a trial or experiment.Theoretical probability a probability that is expected. Experimental Probability probability on the basis of determining. Independent events notion in probability theory. dependent events an event affected by previous events. Probability of an event The most probable thing to happen in a event -Angel Salinas Alvarez]]> 2020-12-01 21:59:45 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977839094 probability concepts devinwil https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977848119 1.trials/experiments A fixed number of repetitions of the same experiments can be thought of as a composed experiment in which case the individual repetitions are called trials

2 Outcomes are a possible result of a experiment or trial each possible outcome is unique.All the possible outcomes of a experiment form the elements of sample space.

3 In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment. A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set.

4 Theoretical probability is a probability that is expected for example when I flip a coin 100 times I expect tails to come up 50 times and heads to come up 50 times. The theoretical probability is 0.5 for a head .

5.Experimetal probability is probability that is determined on the basis of the results of an experiment repeated many times.
6. Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other. two events are independent if the independence of one event does effect the probibility of the other event

7 Dependent events. Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y after X occurs.

8In an experiment, the probability of an event is the likelihood of that event occuring. Probability is a value between (and including) zero and one. If P(E) represents the probability of an event E, then: P(E) = 0 if and only if E is an impossible event.]]> 2020-12-01 22:03:28 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977848119 Probability anthonyfri https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977861845 The trials/experiments are the tests tat you are doing like seeing which side of a coin has a higher chance of it falling on. The outcomes are what happens in the end of the test that tell you the chances of the test. In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment. The theoretical probability is the ratio of a number of favorable outcomes to the total number of outcomes when all the outcomes are equally likely. Experimental probability is the ratio of the number of successes, or favorable outcomes, to the number of trials on a probability experiment. Independent events two events I which the occurrence of one event dose not affect the occurrence of the other event. Dependent events two events in which the occurrence of one event dose affect the occurrence of the other event. Probability of an event is a measure of the likelihood, or chance, that an event will occur.]]> 2020-12-01 22:09:13 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977861845 davina https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977862590 two evvets in which the occurres of one events not affect the occe of mother event

]]> 2020-12-01 22:09:33 UTC https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977862590 Let Me Prove You Wrong About Coin Flips tyall https://padlet.com/jwalker105/3bdrxjvtkhayo4iq/wish/977891251 trials and experiments: in probability theory, an experiment or trial is any procedure that can be infinitely repeated and has a well-defined set of outcomes.

Outcomes: A possible result of an experiment

Sample space: the set of all possible outcomes or results of that experiment.

theoretical probability: A probability that is expected

experimental probability: Is the probability that is determined on the basis of the results of an experiment repeated many times.

independent events: Independent Events are not affected by previous events

dependent events :An event that is affected by previous events.

probability of an event: is the number of favorable outcomes divided by the total number of outcomes possible.

Let Me Prove You Wrong About Coin Flips

When flipping a coin, you would think the outcome would be 50% heads and 50% tails, However that is the exact opposite. If we were to flip a coin 100 times to set up an experiment you would think theoretical probability would be 50/50, but let me prove you wrong! To set up these trials you would have to determine what your sample space is. Thankfully it's easy with a coin because it has only two outcomes. In your sample space you would have heads or tails. As you flip your coin you would see that the act of flipping a coin is an independent event, due to the fact if you flip a tail it will not change the possible outcome of the next flip. This is in contrast to a dependent event. A dependent event would be 10 rounds of soccer where one event can change the course of events, like if team A has a great ofensence and because of that team B's lead defender injures himself, causing team B to have a greater chance of losing. However we were talking about coins! Now that you've flipped your coin you can now determine the probability of an event by dividing the number of favorable outcomes by the total number of outcomes. By the time you've done this you have realised that flipping a coin and getting a greater percentage of heads or tails is an experimental probability due to the fact that the chances of flipping a coin a coin 50/50 are far less thang getting 85/15, 25/75, 60/40, or any other combination. Thank you for reading.

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