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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\


What is is An expression of possible loss adverse outcome or negative consequence such as injury or illness in terms of probability and severity.?

This expression refers to the concept of risk, which encompasses the likelihood of an adverse event occurring (probability) and the potential impact or harm it may cause (severity). In fields like health, safety, and finance, understanding risk is crucial for making informed decisions and implementing effective mitigation strategies. By assessing both probability and severity, individuals and organizations can better prepare for and manage potential negative outcomes.


How many miles per hour with second gear?

There are a lot of factors that go into determining this. What is the effective gear ratio for second gear? What is the maximum RPM of the engine? What is the rolling diameter of the tires? If you can provide the answers to those three questions, I can tell you the maximum speed.


What Identify 10 things that might come under consideration when determining the needs of innovative teams?

When determining the needs of innovative teams, consider factors such as team composition and diversity, which can influence creativity and problem-solving. Access to resources, including technology and tools, is essential for facilitating innovation. Establishing a supportive culture that encourages risk-taking and collaboration also matters. Additionally, clear goals and objectives, effective communication channels, and ongoing training and development opportunities can significantly impact the team's ability to innovate effectively.


What should you keep in mind determining the volume if your voice when addressing an audience?

When determining the volume of your voice while addressing an audience, consider the size of the venue and the number of attendees, as a larger space may require a louder voice for clarity. Additionally, pay attention to the acoustics of the room, as some environments may amplify sound while others may absorb it. It's also important to gauge the audience's response; adjust your volume based on their engagement and reactions to ensure effective communication. Lastly, maintain a natural tone to keep the audience connected and attentive.

Related Questions

In determining the cost of bank financing which rate is the important factor?

effective rate


What is the significance of the z effective of lithium in determining its chemical properties?

The z effective of lithium is important in determining its chemical properties because it influences how strongly lithium's outer electrons are attracted to its nucleus. This affects how easily lithium can form bonds with other elements and participate in chemical reactions.


Why is parallax not a good idea technique for determining distances of stars that are far away?

Distances are too far for it to be effective.


What factors contribute to determining which style of discipline is most effective for children?

Factors that contribute to determining the most effective style of discipline for children include the child's age, temperament, and developmental stage, as well as the consistency and fairness of the discipline approach, the parent-child relationship, and the cultural context in which the child is raised.


What factors should be considered when determining the most effective online learning style for a particular individual?

When determining the most effective online learning style for an individual, factors to consider include their preferred learning methods, technological proficiency, time management skills, motivation levels, and the nature of the content being studied.


What is the relation between transition probability and cross section?

The transition probability is the likelihood that a particle will change from one state to another during a collision, whereas the cross section represents the effective area that the particle presents to a collision. The transition probability is related to the cross section by the formula: transition probability = cross section * particle flux, where the particle flux is the rate at which particles are incident on a target.


What is the effectiveness of decaf test strips in determining the caffeine content in beverages?

Decaf test strips are effective in determining caffeine content in beverages, providing a reliable way to measure the presence of caffeine in decaffeinated drinks.


In determining the cost of bank financing which is the important factor?

Effective rate kot. Miruto cakap.


What is routing plan?

Routing plan is the process of determining (by computing) the most cost effective path (route) taking into consideration time and distance


What is the significance of the effective nuclear charge of beryllium in determining its chemical properties?

The effective nuclear charge of beryllium plays a significant role in determining its chemical properties because it affects the attraction between the nucleus and the outer electrons. This attraction influences the atom's ability to form bonds with other atoms, impacting its reactivity and overall behavior in chemical reactions.


How will a HRM formulate an effective HRP process?

How will a HRM formulate an effective HRP process?


What is the significance of the effective nuclear charge of aluminum in determining its chemical properties?

The effective nuclear charge of aluminum plays a significant role in determining its chemical properties because it affects the attraction between the positively charged nucleus and the negatively charged electrons. This attraction influences the ability of aluminum to form chemical bonds with other elements, impacting its reactivity and behavior in chemical reactions.