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NAME DATE PERIOD Lesson 10.7 Homework Practice Theoretical and Experimental Probability The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability.

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This guide will assist you in completing the Lesson 2 Homework Practice form, focused on theoretical and experimental probability. By following these steps, you will provide accurate responses based on the data provided.

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  1. Click ‘Get Form’ button to obtain the form and open it in the editor.
  2. Begin by entering your name in the designated field at the top of the form, followed by the date and your period number. Ensure that this information is accurate for proper identification.
  3. Review the first section that requires you to find the experimental probability of various outcomes based on the spinner experiment. Carefully analyze the frequency table provided and calculate the probabilities for each outcome: P(less than 4), P(10 or 11), P(multiple of 4), and P(not 10). Enter your responses accordingly.
  4. In the next section, reference the table detailing the types of businesses in Wilsonville. Use the given information to predict how many of each type of business would be in the nearby town of Newberry based on a total of 625 businesses. Fill in your calculations for the grocery stores and retail stores.
  5. Proceed to the restaurant survey section. Calculate the probability of beef tips being the preferred menu item based on the given responses. Enter this calculation in the corresponding field.
  6. For the last questions regarding the soccer coach and the drawing of names, provide predictions and experimental probabilities as required. Make sure to round your answers appropriately as specified.
  7. Once you have filled out all sections thoroughly, review your entries for accuracy. After confirming that all information is correct, save your changes. You can also choose to download, print, or share the completed form.

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An experiment is repeated a fixed number of times and each repetition is known as a trial. Mathematically, the formula for the experimental probability is defined by; Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

Theoretical probability is determined by the sample space of an object. For example, the probability of rolling a 3 using a fair die is 1/6. This is because the number 3 represents one possible outcome out of the 6 possible outcomes of rolling a fair die.

Throwing a die, tossing a coin, rotating a spinner and drawing a card from a pack of playing cards are all examples of probability experiments.

For example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165. For example, the theoretical probability that the number '5' shows up on a dice when rolled is 1/6 = 0.167.

Practice experimental probability questions A coin is flipped 80 times and the results recorded. Determine the probability distribution of the coin. ... A 6 sided die is rolled 160 times and the results recorded. ... A 3-sided spinner is spun and the results recorded. ... A 3-sided spinner is spun and the results recorded.

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out.

Experimental probability is the results of an experiment, let's say for the sake of an example marbles in a bag. Experimental probability would be drawing marbles out of the bag and recording the results. Theoretical probability is calculating the probability of it happening, not actually going out and experimenting.

The difference between theoretical and experimental probability is that theoretical is based on knowledge and mathematics. Experimental probability is based on trials or experiments. Theoretical probability is what should happen. Experimental probability is what does happen.

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