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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 the best definition of the sample space of a probability event?

It is the space consisting of all possible outcomes of the experiment.

What is the probability of rolling a sum of 7 and 11?

The answer depends on how many dice you are rolling and how many times.

What is the probability of a child being a boy?

It depends on the context: if you select a child at random from a girls' school, the probability is 0, while if it is at a boys' school it is 1!

What is the probability of a 13-card hand containing one or more aces?

The probability of a hand containing one or more aces is equal to 1 minus the probability of the hand not containing any aces. The probability for each card will be 48/52 multiplied by 47/51 multiplied by 46/50 and so on. This gives 0.30382

1 minus this is 0.696

Therefore the probability of a 13-card hand containing one or more aces is 0.696

What does it mean when you say a variable is normally distributed?

It means that the probability distribution function of the variable is the Gaussian or normal distribution.

What is the probability of obtaining tails and a three?

Assume the given event depicts flipping a fair coin and rolling a fair die.

The probability of obtaining a tail is ½, and the probability of obtaining a 3 in a die is 1/6.

Then, the probability of encountering these events is (½)(1/6) = 1/12.

How is geometry used in real life?

Geometry is the use of shapes and curves to define relative physical locations. It can be used to analyze or design physical objects and structures, and to determine the location and elevation of physical features on the Earth's surface. Examples : The shape and volume of food containers, the design of buildings, and the layout of streets and roadways. (*In more rigorous usage, it is superceded by trigonometry - the angles and ratios of triangular shapes).

Who is known as Ace of Spades?

I believe the devil was referred to as the Ace of Spades in colloqial terms, at least in England. Can't give you a definite on that, sorry.

How do you calculate mean deviation?

Given a set of numbers, and its mean, we can find the difference between each of the numbers and the mean. If we take the mean of these differences, the result is called the mean deviation of the numbers.

What are the dimensions of a baseball diamond?

Starting at home plate, all the way around in a square, each base is 90 feet apart. Then the pitcher's rubber is 60 feet 6 inches away from home plate.

Setting multiple choice questions?

Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.

Sample of DBMS?

SAMPLE DBMS includes Oracle, DB2, MS Access, MS SQL SERVER, PostgreSQL, MySQL, Sybase.

What are the odds of not selecting a king in a deck of fifty two cards?

4 kings on 52 cards, so you have 4/52 chances to pick a king

52-4=48

you have 48/52 chances not to pick a king

If you flip a fair die one thousand times what would you expect the mean number of dots to be?

Since each number has a 1/6 probability, law of large number implies you will have about 167 rolls of 1, 2, 3, 4, 5, & 6. The mean of 1, 2, 3, 4, 5, & 6 is 3.5. Therefore, the mean of the dot values will be 3.5.

What are the advantages of using standard normal distribution over the normal distribution?

The standard normal distribution is tabulated. The critical values for various outcomes can therefore be worked out easily from tables. The normal distribution is extremely difficult to integrate: most people, even with a university degree in mathematics will be unable to do so. So working out the probability of events from the normal distribution is near enough impossible.

What is the probability that a tail will appear when tossing 2 fair coins?

75%

The chance of not having a tails but a heads on both coins is (1/2)2 or 25%, so the chance of actually having a tails on either coin is 3/4, or as a percentage 75%

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What is the probability that our sun has a companion star?

Very low. Such a companion would have been detected by now, even if only through its gravitational effects.

What does resolved mean?

To have a goal or make a decision and stick to that decision no matter what.