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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

Is Inferential statistics based on probability theory?

Yes; the p value used in hypothesis testing is probability. See the related link.

What is the role of identical twin studies?

One aim is to provide more information on the "Nature/Nurture" debate: how much of a person's character is genetically pre-determined (nature) and how much is influenced by the way in which they are brought up (nurture).

What are the most likely sums to be rolled on two regular dice?

For two 6-sided dice, the sum of seven will come up more often than any other sum. You need to look at each die as a unique event to solve this. So here are the outcomes that add to seven:
  • 1 + 6
  • 2 + 5
  • 3 + 4
  • 4 + 3
  • 5 + 2
  • 6 + 1
Note that there are six different outcomes which add to 7. Also note that 1+6 is a different event than 6+1, and similarly for the other events. The next most likely sums are 6 and 8: each of those has five different outcomes to sum up.

What is the probability that a card drawn from a standard deck is a heart or an 8?

the probabiity that you draw a heart is 13/52 or 1/4, since a quarter of the cards are hearts. Since you want to know the probability of BOTH events happening, you multiply the two. One half times one fourth is 1/8, or A.

What is the duce in a pack of playing cards?

deuce1 (dūs, dyūs) ---- [Middle English deus, from Old French, two, from Latin duōs masculine accusative of duo.]

    1. A playing card having two spots or the side of a die bearing two pips.
    2. A cast of dice totaling two.
First of all, it's spelled........."Deuce." The answer to the question is......... "Deuce - The 2 of any suit (also called a "duck")." DH65/B.IN0607

How do find the probability of 27 and 11?

There is insufficient information in the question to answer it. Please restate the question.

Does a large percent Relative Standard Deviation number indicate less precision?

Only if you assume that the true values are supposed to be the same every time. Otherwise, it is also possible that there is, indeed, a lot of variation among the values.

How many outcomes are there in the sample space for rolling 1 die?

It depends on how many sides your die has. If it has 6 sides, then there are 6 possible out comes.

Density function of a continuous random variable?

I am not quite sure what you are asking. If this answer is not complete, please be more specific.

There are many probability density functions (pdf) of continuous variables, including the Normal, exponential, gamma, beta, log normal and Pareto.

There are many links on the internet. I felt that the related link gives a very "common sense" approach to understanding pdf's and their relationship to probability of events.

As explained in the video, a probability can be read directly from a discrete distribution (called a probability mass function) but in the case of a continuous variable, it is the area under the curve that represents probability.

What will be the winning Easy 5 winning numbers in the Louisiana Lottery?

You cannot predict the outcome of a game of random chance.

If you could, you could rule the Earth, but then you would also be bound by higher laws, and that is out of scope for this question.

Why are two kings in a deck of cards called suicide kings?

Because it appears that the King of hearts is holding his sword to his head, as if he is getting ready to run himself through