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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.

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.

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 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.

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