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Q: How is experimental probability used to make predictions?
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Continue Learning about Math & Arithmetic

How can probability be used to make predictions?

Well... with what I learned from Mrs. Franks, mt math teacher, she said for weather. For example there with be a probability of 75 degrees today.


When you win a lotto is this an example of experimental or theoretical probability?

Neither. Experimental or theoretical probabilities are methods that may be used to determine the probability that a given set of numbers will win, whereas your winning is the outcome of the event.


How do experimental probability and theoretical probability are related?

EXPERIMENTAL PROBABILITYExperimental probability refers to the probability of an event occurring when an experiment was conducted.)In such a case, the probability of an event is being determined through an actual experiment. Mathematically,Experimental probability=Number of event occurrencesTotal number of trialsFor 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.On the other hand, theoretical probability is determined by noting all the possible outcomes theoretically, and determining how likely the given outcome is. Mathematically,Theoretical probability=Number of favorable outcomesTotal number of outcomesFor example, the theoretical probability that the number '5' shows up on a dice when rolled is 1/6 = 0.167. This is because of the 6 possible outcomes (dice showing '1', '2', '3', '4', '5', '6'), only 1 outcome (dice showing '5') is favorable.As the number of trials keeps increasing, the experimental probability tends towards the theoretical probability. To see this, the number trials should be sufficiently large in number.Experimental probability is frequently used in research and experiments of social sciences, behavioral sciences, economics and medicine.In cases where the theoretical probability cannot be calculated, we need to rely on experimental probability.For example, to find out how effective a given cure for a pathogen in mice is, we simply take a number of mice with the pathogen and inject our cure.We then find out how many mice were cured and this would give us the experimental probability that a mouse is cured to be the ratio of number of mice cured to the total number of mice tested.In this case, it is not possible to calculate the theoretical probability. We can then extend this experimental probability to all mice.It should be noted that in order for experimental probability to be meaningful in research, the sample size must be sufficiently large.In our above example, if we test our cure on 3 mice and all of these are cured, then the experimental probability that a mouse is cured is 1. However, the sample size is too small to conclude that the cure works in 100% of the cases.R\


How can you use probability to predict traits?

Probability can be used to predict traits by analyzing data from a large sample size. By calculating the likelihood of a certain trait occurring based on the frequency of its occurrence in the sample, predictions can be made about the probability of that trait appearing in future individuals. This allows for a quantitative approach to estimating the likelihood of certain traits being inherited or expressed.


What can be used to make predictions?

A educated guess or hypothesis depending on what it is like something simple (predicting a math or science question).