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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

When does something have a theoretical probability?

When you can find a model that satisfactorily captures the scientific laws behind all the possible outcomes of the trial.

What is the definition of permutation?

A permutation is an ordered arrangement of a set of objects.

What is Tossing The Cable?

"Tossing the cable" typically refers to the practice of cutting ties with traditional cable television services in favor of streaming platforms and digital content delivery. This trend has gained popularity as consumers seek more flexible viewing options and often lower costs associated with streaming services. By "tossing the cable," individuals can curate their entertainment choices and access a wider array of content without being locked into long-term contracts.

Is 1.4 unusual in z-score?

No. If the underlying distribution is approximately Normal then 1.4 is not at all unusual.

An Ounce of Prevention?

Too often in society today, people tend to cut back on the wrong things when they're looking for things to cut inside of their budget. Insurance is usually one of the first things on the chopping block, even though there is no way that it should be. Everyone, from individuals to people with families, should have insurance on their car, on their person, on their health, on their large assets, and on their business in the form of unemployment insurance and disability insurance. All of these things can be covered under certain types of general insurance plans, and these types of general insurance plans are usually much more cheap than buying each individual type of insurance.

There are certain types of general insurance companies which specialize in this type of insurance, and people who are trying to cut back or look for cheaper insurance should definitely seek out these types of programs so that they can maintain their protection against emergency events without having to break the bank and go over the monthly budget. However, no matter what, people should remember that the reason that insurance companies are among the most profitable companies in the world is because they pay close attention to the mathematical probabilities that things may happen that are bad. People tend to think they can beat these odds, but this is why the insurance companies are very well to do with plenty of money, and many people are sitting in the hospital or unemployed, with a broken financial structure, because they did not have the wherewithal to use the same mathematical probability models as the insurance companies and keep their insurance.

Is definitely not in your best interest to worry about the ins and outs of the probability models that the insurance companies literally use. However, it is in your best interest to realize that the economic fallout of one emergency that can bankrupt you is well worth the extra effort to maintain that line item in your monthly budget. If you must cut back, cut back on other things in your budget, but not on the insurance that you have for yourself or your family.

There are 2 red and 5 green balls in a bag If you randomly choose balls one at a time with replacement what is the probability of choosing 2 green balls and then 1 red ball?

Probability of first green: 5/7

Probability of second green: 5/7

Probability of a red: 2/7

Probability of all 3 consecutive successes: (5/7) x (5/7) x (2/7) = 50/343 = 14.58% (rounded)

What is addition theorem of probability?

Consider events A and B. P(A or B)= P(A) + P(B) - P(A and B)

The rule refers to the probability that A can happen, or B can happen, or both can happen together. That is what is stated in the addition rule.

Often P(A and B ) is zero, if they are mutually exclusive. In this case the rule just becomes P(A or B)= P(A) + P(B).

What is the z-score for a value of 125?

The z-score for an observation (or a set of them) can only be calculated if the mean and standard deviation are known. Neither of them are given in this question.

Is having a baby boy hurt more than having a baby girl?

No they all hurt. It's more about hos big the baby is and how long it takes, complications etc.

How many outcomes are there if you roll two six- sided number cubes?

There are 36 possible outcomes. But if the cubes are identical, then for every

possible outcome, there's another one that looks just like it, so only 18 that

you can identify.

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