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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

Moment generating and the cumulant generating function of poisson distribution?

The moment generating function is

M(t) = Expected value of e^(xt)

= SUM[e^(xt)f(x)]

and for the Poisson distribution with mean a

inf

= SUM[e^(xt).a^x.e^(-a)/x!]

x=0

inf

= e^(-a).SUM[(ae^t)^x/x!]

x=0

= e^(-a).e^(ae^t)

= e^[a(e^t -1)]

How do you find the probability of winning a board game?

Board games are a combination of:

* Skill

* Luck

If a game was 100% luck, for example Snakes and Ladders, your chance of winning is 1 in the number of players.

If the game was 100% skill, it would depend on your skill in the game. For example if you were hopeless at Chess, your chance of winning could be 0.

Many board games, including scrabble & monopoly have a combination of skill and luck and thus the chance of winning will depend on your skill with an adjustment depending on the affect of the luck factor.

What is the probability of the letter c?

The total number of alphabets is 26.

So the probability of letter C = No of time c is present in the alphabets / Total number of alphabets

So probability of letter c is 1/26

How do you calculate the statistical probability of dying in a plane crash?

You calculate the statistical probability of dying in a plane crash in the same way that you calculate the probability of anything else. You simply divide the number of expected outcomes by the number of possible outcomes.

To determine the statistical probability of dying in a plane crash, you divide the number of people that have died in a plane crash by the number of people that have flown in planes. You can aggregate this anyway you want, over whatever period of time you want, so long as you properly state the conditions under which you perform your calculation.

What is a dependant probability?

Dependant probability is when the likelihood of one thing is affected by whether or not something else happened.

For instance, when I go shopping, there's a 90% chance I'll go to the local shop, and there's a 10% chance I'll go to the bakers.

If I go to the shop, there's 50% chance I'll buy a loaf of bread. If I go to the bakers, there's an 80% chance I'll buy a loaf of bread.

The dependent probability is the chance I'll buy a loaf of bread. It depends on which shop I go to.

How does probabilty help us gather information?

Probability can help gather information by identifying where the information is more likely to be found. In most situations, though, we gather information to help find probabilities!

Probability can help gather information by identifying where the information is more likely to be found. In most situations, though, we gather information to help find probabilities!

Probability can help gather information by identifying where the information is more likely to be found. In most situations, though, we gather information to help find probabilities!

Probability can help gather information by identifying where the information is more likely to be found. In most situations, though, we gather information to help find probabilities!

What are the genetic priciples of identical twin case?

In the case of identical twins, a single embryo divides into two completely separate and genetically identical embryos. Each embryo continues to grow and develop individually, but with the exact same genes as the other.

On an interesting side note: Children of identical twins are genetically as closely related to their parent's identical twin as they are to their identical twin parent. Genetically, both twins are the parent of the other's children. Also, their children are genetically half-siblings.

What is the probability of selecting a card that is not 6 in a deck of 52?

If you draw 49 cards the answer is 0.

If you draw only one card at random, the answer is 48/52 = 12/13.

If you roll a die what is the probability of getting 2 or 6?

With a normal 6-sided die the probability would be 2/6, or 1/3.

What does egotism mean?

It's a synonym of narcism: basically, it means the practice of talking and thinking of oneself excessively because of an undue or inflated sense of self-importance.

What is the probability of rolling 6?

With one standard die, the probability is one in six.

What is the volume of 4 marbles using water displacement?

We don't know what size marbles you have, so we can't tell you their volume.

But we can tell you that you had better get the same answer no matter what

method you use, otherwise something is definitely fishy. The answer never depends

on what method you use to find it.

A number from 17 to 15 is drawn at random p an even number express the probability as a fraction?

That leaves 3 numbers, 15, 16, 17. If you're looking for the probability of drawing an even number it would be 1/3, or 0.333.