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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

A class has 30 students what is the probability that nobody in the class have same birthday count one year as 365 days?

ok let's try this!

on any given date, probability that there is a student with a birthday is 30/365, so prob. that two students have that birthday is (30/365)^2. Tell me if I'm wrong, somebody!

So the problem that this does NOT happen is 1-(30/365)^2 which is 0.9932445...

I'm not sure about this next bit:

there are 365 days in which this probably won't occur, does that make a difference?

How do i find the percentage loss?

18.55% is overall loss Loss per annum compounding is 5.263% The fact that 4 years is given would indicate that the answer required is the annual compounding figure anmd not simply the first answer above. Overall loss divide the difference between the starting and closing figures by the starting figure Loss per annum use the formula S=P(1=i)power of n Where S is closing figure P is starting figure i is interest rate n is number of years I solved latter using a formula in excel within (fx)

What is the probability that two students will think of the same letter of the alphabet at the same time?

I think it depends on how many students are thinking of alphabet letters at the same time :) The first student will think of a letter from the English alphabet. Then, the second student will think of a letter. The probability that the second student will select what the first student selected is 1/26.

What is the fastest way to die?

Passing away in your sleep going straight to heaven!

How is the Pythagorean theorem used to develop the equation of a circle in standard form?

The Pythagorean theorem is used to develop the equation of the circle. This is because a triangle can be drawn with the radius and any other adjacent line in the circle.

What is the probability of dying by shark attack?

First of all, I want you to excuse my English that is not as good as i would like.

Youhave more chances to win at the lotery

You have more chances to die:

hitten by lighnting (200 deads each year)

crossing the street

hit by a coconut falling from a palm(more than 100 deads each year)

Each year, the Bengal tiger kills 200 persons in Pakistan and India

There are between 20-30 shark attacks each year and the half of this survive so...be affraid of several things around you but not of sharks.

Hugues from Québec

Actually the 20-30 attacks is a false statistic I mean I go swiming to New Smyrna beach and it's the shark attack capital of the world. the number of attacks their for 2008 is 19 so I doubt the rest of the world is only 11 but it is tru that all these other deaths are more likely

The odds of dying to a shark attack are about 1 in 3,700,000. Both of the posters above are correct in that there are more important things to worry about. The odds of dying due to accidental drowning and submersion during your lifetime are 1 in 1,123 according to the National Safety Council. While sharks are more scary, riptides are what you should really be aware of.

What is the probability of rolling a 7 with two dice?

The probability or rolling a 7 with one roll of a pair (2) dice is 0.166666.... We get this number by dividing 6 by 36 (or 1 by 6). Let's review what a probability is and then find out how we get the 6 and the 36.

We know that probabilities range from zero (0) to one (1), inclusive. A probability of 0 means that a given result cannot happen. Like rolling a 13 with one toss of a pair of dice. The largest number that can appear is 12, so rolling a 13 cannot be done. The probability of that happening is 0.

A probability of 1 means it must happen. Like rolling a number between 2 and 12, inclusive, with one roll of the dice. Rolling a 2, 3, 4, 5, 6 7, 8, 9, 10, 11, or 12, is something that must happen, so the probability of that is 1. All probabilities that something will happen will fall on or between 0 and 1. All of them. Some folks often interchange the term probability with "the odds" of something happening, and this might be the cause of some confusion. Now that we've reviewed probability, let's look at odds and see where the numbers come from.

There are 6 ways to make a 7 with two dice. They are 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1. And there are 36 (6 x 6) possible outcomes with a single roll of two dice. The odds of a 7 coming up are 6 in 36, or 1 in 6. As this is true, the probability of the 7 appearing will be the number of times the combination is possible (6) divided by the total possible combinations (36), which leads us to 6 divided by 36 or 1 divided by 6, or 0.166666....

Use the link to the Related question to see about the odds of rolling that 7 with two dice.

Is everything possible?

Sorry to break everyone's heart and soul but not everything is possible. You can't slam a revolving door while it's in motion. You can't grow wings and fly.

So, I have one last thing to say to all of you:

"Nothing is impossible, the impossible just takes infinitely longer."

What are the advantages of stratified random sampling?

There are many advantages of using the stratified random sampling. Some of them are, ability to reduce human potential in choosing the cases in sample, statistical conclusion fro data collected, improving representation of strata etc.

What is oc curve?

Definition OC Curves or Operating Characteristic Curves refer to a graph of attributes of a sampling plan considered during management of a project which depicts the percent of lots or batches which are expected to be acceptable under the specified sampling plan and for a specified process quality. The specified sampling plan may be singular, sequential or iterative and may be using a particular size of a sample depending upon the demands of the project and could yield the results of acceptance or rejection based on a specified criteria. It helps in the selection of sampling plans It aids in the selection of plans that are effective in reducing risks. It can help in keeping the high cost of inspection low. There are two ways of calculating the OC curves. Binomial Distribution Poisson Formula Type A - Gives the probability of acceptance for an individual lot coming from finite production. Type B - Gives the probability of acceptance for lots coming from a continuous process. Type C - Gives the long-run percentage of product accepted during the sampling phase.

What is theoretical significance?

Theoretical significance means something could be considered significant if a theory is true. This term is most often used when discussing ideas from a historical perspective.

What is the probability of winning on a slot machine?

It depends on the machine, but hitting the multi-million dollar progressive jackpot on the Megabucks machine is almost 50 million to one. In comparison, picking 6 out of 49 numbers in the lottery is about 14 million to one.

How big is a head lice?

Well a Head Louse doesn't get very big about 3 Millimeters

What is the relationship between statistical inference and probability theory and how do I support it with examples?

Probability theory is the field of mathematics that enables statistical inferences to be made. All equations used in statistical inferences must be based on mathematics (theorems and proofs) of probability theory. An example to illustrate this. Given a normal probability curve with a mean = 0 and variance of 1, 68% of the area under the curve is in the range of -1 to 1, as calculated from probability theory. Since it is proved by mathematics, we can state it as a fact. If we collect data, and the average of the data is zero, and the standard deviation is 1, then we can infer that we are 68% certain that the population mean lies between -1 to 1. Our conclusion is inferred based on our limited and imperfect sample and the assumption that our population is normally distributed.

Is a parallelogram's diagonals perpendicular?

If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.