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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

Measurements that fall beyond three standard deviations from the mean are called?

Extreme values. They might also be called outliers but there is no agreed definition for the term "outlier".

After a die has been rolled shouldn't the probability be 50 50 for any given outcome it either is or it isn't so it is a certain number should have the probability 1 2 More semantics than math?

Assuming as the die is rolled, and its a 6-sided die (1, 2, 3, 4, 5, & 6), each number has a 1/6 probability of being rolled. The probability of any number being rolled is 1/6 and the probability of not rolling that number is 5/6. Something that has only 2 outcomes, such as boy & girl or heads & tails, will have the 50 50 probability.

How many possible sets of uniform can be made out of a seven color combination?

It depends on other restrictions placed on the problem, the main one of which is how many colours you can have on one uniform and their arrangements.

Assuming each uniform is one colour, the problem is trivial. There are 7, one uniform in each colour.

If each is split into a shirt and trousers, there are then 49 combinations, each one with a different combination.

This can clearly be extended allowing infinitely many coloured patches, giving rise to infinitely many different uniforms.

If however you place the restriction that no uniform may contain the same colour more than once, there are nPr uniforms, where n is the number of colours available (7) and r is the number on each uniform. The greatest number of uniforms under this system is obtained with either 6 or 7 coloured patches, for 5040 different uniforms.

Another restriction would be that you consider a uniform with, for example, red trousers and a blue shirt, to be the same as one with blue trousers and a red shirt and still disallow double colours. In which case there are only nCr uniforms, or a maximum of 35, from 4 different patches.

In short there are arbitrarily many restrictions that could be placed on the uniforms' designs, so any number of possible uniforms could be selected (in theory) by setting the right restraints.

Thankyou for your question, it was quite an interesting distraction and helped me to remember some statistics maths that I've haven't used for a few years. If you were looking for a useful answer though, I apologise for not providing one.

What is the probability of getting heads one-half N times when flipping a coin N times?

If N is odd, the probability is 0.

If N is even, suppose N=2M

then the probability is 2MCM*(1/2)2M which approaches 0 as N (or M) increases.

For N = 10, Prob = 0.1762

For N = 20, Prob = 0.1254

For N = 30, Prob = 0.1026

For N = 80, Prob = 0.0630

Is 16 percent unlikely?

A probability of 16% is about 1 in 6. As with so many things expressed with probability we tend to be subjective in deciding whether this is likely or not. One factor might be loss. If I have a 1 in 6 chance of being two minutes late for a routine weekly meeting to take time for a much needed coffee I might take the risk. If I have a 1 in 6 chance of being flattened by a snowplow hurrying to cross a road when I have nothing better to do then I might be happy to wait.

Why is everyone in the club getting tipsy?

They probably don't have Jesus in their hearts, souls, or minds.

What was tossed in the seventeenth century over the brides head?

I'm pretty sure it was a knife or something dangerous like that!?

Gaspard Monge characteristics along his biography?

LOYAL FRIEND

Monge's abilities brought him to the attention of Napoleon and they were to become good friends, though he was more than twenty years older than Napoleon. In 1798, Napoleon attacked Alexandria and Monge was anxious to join in the attack. Napoleon would not allow it: after all, Gaspard was 52-years-old! Nevertheless, Gaspard left France but his boat was attacked - he defended courageously until Napoleon had to leave his main force to save his friend.

Napoleon and Monge returned to France and the story goes that Gaspard had worn the same clothes for the entire trip. Monge continued to be friends with Napoleon, making himself a political victim of Napoleon's enemies - the Bourbons.

How do you solve the math problem on cracked tiles?

Under those conditions, it would be advisable to sit down while

working on the problem, in order to avoid painful distractions.