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Why might experimental probability be different from theoretical probability?
Wiki User
∙ 11y ago
There may not have been a sufficient number of experiments carried out.
The experiments may not have been carried out properly.
There may have been incorrect assumptions made in deriving the theoretical probability.
Wiki User
∙ 11y ago
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How do you get if you roll a die 100 times how many times would you expect to get 1?
If you roll a die 100 times, you would expect to get a 1 about 17 times, because the probability of getting a 1 is 1 in 6, or 0.1667. However, that is theoretical probability; experimental probability - the actual results of doing this 100 times - might not be 17, but if you did this a large number of times, the experimental results would indeed begin to approach the theoretical results.
What does fair means in math term?
One way of describing a fair trial in statistics is one in which the probability of each outcome is what might be expected on theoretical grounds. A coin, that can only land on two faces, is equally likely to land on either one. A cubic die that is equally likely to show any one of its six faces and so on.
What does likely mean in math?
Likely means the same as probable and probable refers to the probability that something might happen, Probability is measured using a scale of probability from zero to one. Zero means that the event will definitely not happen whereas a probability of 1 means that the event is certain to happen, Similarly a probability of 0.5 means that the event is just as likely not to happen as to happen. What is the probability that you could swim the Atlantic unaided? Zero What is the probability that a bird will die? One What is the probability that I can throw a 1 with a dice? 1 out of 6 = 0.1666666....... What is the probability that I can toss a "heads" with a coin? 50% = 0.5 = one half
Why would two different calculators give different answers to the same problem?
They might round their fractions to different decimal places.
What is the math problem with monkeys and peanuts?
It's simple probability problem two jars are shown to the monkey one with 6 peanuts and 3 rocks One with 100 peanuts 100 rocks One object is taken and hidden in the hand nearest the jar the monkey picks a hand he thinks might have a peanut the smart ones pick the hand near the small jar because it has 2 times the probability
How do you get if you roll a die 100 times how many times would you expect to get 1?
If you roll a die 100 times, you would expect to get a 1 about 17 times, because the probability of getting a 1 is 1 in 6, or 0.1667. However, that is theoretical probability; experimental probability - the actual results of doing this 100 times - might not be 17, but if you did this a large number of times, the experimental results would indeed begin to approach the theoretical results.
Why is theoretical probability called theoretical probability?
It is the theory of what might happen, but not actually what happens. In theory, if you spin a coin 100 times, it should come up on heads 50 times, as there is a 1 in 2 chance of you getting heads on each spin. If you actually do spin a coin 100 times, the total of heads is the experimental probability, so what you actually get. That may not be 50. It is likely to be close to 50 though.
What is the experimental probability of rolling a 2 on a number cube rolled 50 times?
Conduct the following experiment: Roll a number cube 50 times. Count the number of times you roll a 2. Divide that number by 50. That is the experimental probability. The answer that I might get may well be different to yours. And if you do you experiment another time, the answer is likely to be different.
If you rolled a number cube ten times and got a 6 twice what is the experimental probabilityof rolling a 6?
If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.If a number cube (die) contains the numbers 1, 2, 3, 4, 5, and 6, and the cube is fair, then the probability of rolling a 6 is 1 in 6. If you roll the cube 10 times, you would expect to get 6's 10 / 6, or about 2 times. However, 10 trials is not a lot of trials, so the experimental outcome might not match the theoretical probability. In this case, the experimental probability matched the theoretical probability, but that is simply chance. If you repeat the experiment, so you will probably not get the same results.
What is experimental and theoretical probability?
They are just used to make equations and make more things like more equations and estimates!Theoretical Probability: P(event) the ratio of the number of favorable outcomes to the number of possible outcomes, written as a ratio.example: number of favorable outcomes over number of possible outcomesAmelynn is hungry, so she gets out a bowl and puts in 2 red jelly beans, 3 blue jelly beans, 12 pink jelly beans, and 3 yellow jelly beans. Amelynn likes the pink ones the best. What is the theoretical possibility of her getting a pink jelly bean?Answer: 12 over 20. (or 3 over 5 [simplest form])Explanation: Amelynn put 20 jelly beans in the bowl. She wants the pink ones, andthere are 12 pink jelly beans, which are the favorable outcomes. There are 20 jelly beans, and these are the possible outcomes. This means that it is 12 over 20. You might have to put this in simplest form as well. also this is 60% total.******************************************************************************************Experimental Probability: The number of times the outcome occurs compared to the total number of trials.example: number of favorable outcomes over total number of trials.Amelynn is flipping a coin. She finished the task one time, then did it again. Here are her results: heads: three times and tails: seven times. What is the experimental probability of the coin landing on heads?Answer: 3/10Explanation: Amelynn flipped the coin a total of 10 times, getting heads 3 times. Therefore, the answer is: 3/10 or 30%Theoretical probability ... a coin has 2 sides so the theoretical probability of flipping a coin and getting heads is 1/2.Experimental probability... flip a coin 10 time and you get 7 heads so the experimental probability of getting heads is 7/10
Why is theoretical yield almost never?
This is not true, experimental yield is can be higher than theoretical or equal theoretical yield. If the experimental yield is greater though, that means that something went wrong in the experiment and that was most likely a contaminant. Ideally, you want to be as close to the theoretical yield as possible.
How does theoretical probability work?
That means that you have some knowledge, or assumption, about the probability, before actually doing the experiment. For example: if a die (that's the singular of "dice") has six sides, it is fairly safe to assume that each of the six numbers has the same probability of appearing, because of the die's symmetry. Therefore, since the sum of probabilities must add up to one, the probability for each of the six numbers is 1/6. (Note that the above assumptions might be wrong; for example, the die might be manipulated to weigh more on one side than on the other.)
How do you do theoretical and experimental probability math problems?
In some situations it is possible to use fundamental laws: of physics, genetics, mathematics and so on, to build a mental model for the trial. From this it is possible to determine the outcome space - the set of all possible outcomes of the experiment - and assign probabilities to these outcomes. These are theoretical probabilities.In some situations, however, that is not possible. It is necessary to conduct the experiment, quite possibly very many times, and the relative frequencies of the outcomes are the experimental probabilities.For example, if you had a true coin being tossed fairly, you could use the laws of physics to conclude that the event that the coin stands on its edge is so very small that it can be ignored, and that leaves two possible outcomes - heads and tails - which are equally likely. A theoretical probability of 0.5 is assigned to either face showing up.If you had a coin with an unknown bias, you could not use the physics model. You could toss it a hundred times and, if heads came up 55 times, conclude that the probability of heads, for that coin, was 0.55. If you tossed it a thousand times you might find that heads turned up 553 times so that the probablity of heads was refined to 0.553. The greater the number of tosses, the better the estimate is likely to be. These are experimental probabilities.
In a controlled experiment what term is used to describe the many factors that might be different between the experimental and control groups?
variables
What is the probability of asking a student at your school what grade he or she is in?
The probability is indeterminate. I might ask a student or I might not.
Is 20 a probability?
No, a probability must needs be a number between 0 and 1.20% might be a probability, though - since that is equivalent to 0.2.
What exactly might UTX refer to?
UTX might refer to many different things. Some things UTX might refer to are United Technologies Corporation, Utility Trainer Experimental, Under Track Crossing and many more.
