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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

What is the definition of simulation in math?

It is using a computer (or some other automated process) to calculate the outcomes of a large number of repeated trials of an experiment - rather than doing the experiment a large number of times.

For example, instead of tossing a coin a million times - which would take a long time - I could get my computer to generate a million random digits. Then if the digit is even I call it Heads and if odd I call it Tails. Task accomplished in seconds!

Why is it rare to have the experimental and theoretical probabilities be the same?

Because multiple experiments can be tried to prove just one theory. When humans get involved there are a multitude of factors that sometimes can't and don't get taken into account as well.

What is Raleigh Distribution?

Given the fact that the browsers which we are forced to use cannot even handle superscripts, it is virtually impossible to give a sensible answer here. URLs are prohibited so I cannot give you a link but I recommend you search Wikipedia for Rayleigh Distribution.

How many people would you need to get together to have two people with a birthday in the same month?

To be certain of it, you would need twelve people (simply because that is the number of different possibilities).

To have a better than even chance of it, you would need at least 5 people.

And the correct answer will of course be - 13

If you have 12, they might all have birthdays in different months.

A better than even chance will have to be more than 6 and therefore that answer would be 7.

How many times will a roulette wheel will stop on 0 if spun 190 times?

There are two different kinds of roulette wheels: those with numbers 1-36, 0 and 00 and ones without the 00. The first one will be expected to stop on zero 5 times, the second 5.14 times.

What are the chances of rolling the dice at 1?

For a six sided die , it would be 1/6 as there is an equal chance for every value.

What step in the risk management process is focused on determining the probability and severity of a hazard?

Assess hazards is the step in the composite risk management process that is focused on determining the probability and severity of a hazard occurring.

What kind sampling based on probability?

Probability sampling, according to which, a member of the population has the same probability of being included in the sample as any other member. Equivalently, each sample of a given size has the same probability of being chosen.

Stratified and cluster sampling are variations on this idea. In stratified sampling, the population can be divided up into strata such that members within each stratum are more like each other than across strata. One example may be school pupils in different year groups. A sampling scheme could assign a number to be sampled from each stratum (perhaps according to how large that group is) and then, within that stratum, to use simple probability sampling.


Cluster sampling is used when the entire population can be split up into clusters. Clusters are selected using probability sampling. Then a census is used within each cluster. For example, if you wanted to sample schools across the country, a simple probability sample would result in schools all over the country and the travelling costs (and time) would be prohibitive. Instead, you divide the country up into regions and take a probability sample of these regions. You end up visiting every school within the few selected regions.