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Unit 8: Lesson 3

Lesson 4: Estimating probabilities through repeated experiments

Probability models example: frozen yogurt

Model the probability of a frozen yogurt line having 0, 1, or 2 people in it.

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• So would it all add up to 24/50 probability for 0 people in line? That's what I don't get.
(1 vote)
• 24/50 is the number of times 0 people have been seen at the cash register of the frozen yogurt store.
• At ,how you get 24/50?
(1 vote)
• total 24 + 18 + 8 = 50 times obversed = 100% (include 0, 1, 2 line size)
line size 0 have 24 times oberved = 24/50 = 48%
• how does the theoretical work with ir
• What is theoretical probability again?
• Definition of Theoretical Probability. It is the likeliness of an event happening based on all the possible outcomes. The ratio for the probability of an event 'P' occurring is P (event) = number of favorable outcomes divided by number of possible outcomes.
(1 vote)
• What is estimated probability?
• Estimated probability, also called experimental probability or empirical probability, is calculated by performing a number of trials of an experiment and finding the ratio of the number of "successful" trials to the number of trials performed.

Example: Suppose we toss a coin 50 times and get 28 heads. Then the estimated probability of heads is 28/50, or 0.56, or 56%. If the coin is actually fair, then the true probability of heads is 0.5. So the estimated probability can be different from the true probability. The estimated probability will tend to be closer to the true probability if the coin is tossed a greater number of times.

Have a blessed, wonderful day!
• if it is completly possible that the true data is miles away from the estimated data ,why are we estimating anyway?
(1 vote)
• Someone should please help me, because I understand it but I don't understand it. IT'S COMPLICATED
(1 vote)
• Ok I will explain it to you as words. This whole lesson is mostly about probability.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).