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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 probibility from 1 out from 27?

If the number is selected at random, then 1/27.

A spinner has the numbers 10 20 30 40 and a number cube numbered 1 through 6 what is the probability of getting a sum greater than 25?

Pr(Sum > 25) = Pr(Spinner = 30 or 40 and Cube = 6)

= Pr(Spinner = 30 or 40)*Pr(Cube = 6)

= 2/4 * 1/6 = 1/2*1/6 = 1/12 or 8.33... %

What would be the chance of picking a multiple of 2 from a deck of cards?

If one card is picked at random from a normal deck of cards, the probability is 20/52 or 5/13.

What was the outcome of this event?

Could you please specify which event you are referring to? This will help me provide a more accurate and relevant answer.

What is sampling error?

Sampling errors are errors in the data collected during the carrying out of quantitative data surveys. They can occur for various reasons, e.g. surveys that were incorrectly filled out. It is generally said that a survey needs to have a margin of error of under 3% to be statistically significant.

What is differential calculus?

That is the part of calculus that is basically concerned about calculating derivatives. A derivative can be understood as the slope of a curve. For example, the line y = 2x has a slope of 2 at any point of the line, while the parabola y = x squared has a slope of 2x at any point of the curve.

What is the difference between double sampling and multiphase sampling?

DOUBLE SAMPLING

Definition:

A standard form of sample design for industrial inspection purposes. In accordance with the characteristics of a particular plan, two samples are drawn, n1 and n2, and the first sample inspected. The batch can then be accepted or rejected upon the results of this inspection or the second sample be inspected and the decision made upon the combined result.

Context:

The term has also been used somewhat loosely for what is called multi-phase sampling and the two-stage version of multi-stage sampling. There is a further usage whereby a first sample provides a preliminary estimate of design parameters which govern the size of the second sample to achieve a desired overall result.

MULTI-PHASE SAMPLING

Definition:

It is sometimes convenient and economical to collect certain items of information from the whole of the units of a sample and other items of usually more detailed information from a sub-sample of the units constituting the original sample. This may be termed two-phase sampling, e.g. if the collection of information concerning variate, y, is relatively expensive, and there exists some other variate, x, correlated with it, which is relatively cheap to investigate, it may be profitable to carry out sampling in two phases.

At the first phase, x is investigated, and the information thus obtained is used either (a) to stratify the population at the second phase, when y is investigated, or (b) as supplementary information at the second phase, a ratio or regression estimate being used.

Two-phase sampling is sometimes called "double sampling".

Context:

Further phases may be added if desired. It may be noted, however, that multiphase sampling does not necessarily imply the use of any relationships between variates x and y. The expression is not to be confused with multi-stage sampling.

What is the probability of winning a lottery game where the winning numbers is made up of seven digits from 0 to 9 chosen at random?

It depends on how the game is structured, a piece of information that was not given in the answer...

If the numbers are reused, then there are 1 x 107 (ten billion, in the short scale) permutations. Without combinations, then, the probability is 1 x 10-7.

If the numbers are not reused, and we are playing combinatorial, in the style of most state sponsored lotteries, then the number of combinations is (10-3)! / 7!, which is 120, making the probability 1 in 120, or about 0.00833.

There are other possibilities but, again, it depends on the rules, and you did not specify them completely.

There are 52 cards in a deck of playing cards and each deck has four sixes If you pick one card from the deck at random what is the probability that you will pick six?

4/52 = 1/13

There are 4 sixes (the numerator)

There are 52 cards (denominator)

Reduce your fraction

You have 4 chances out of 52 that the card you pick will be a six (because there are 4 sixes in the 52-card deck)

What are the features of a binomial distribution?

An experiment with only two outcomes ("success" and "failure"), a constant probability of success, a number of independent trials.

Then, if the probability of a success in a trial is p, the probability of r successes in n trials is

nCr*pr*(1-p)(n-r) for r = 0, 1, 2, ..., n.

In case the super-and sub-scripts do not work, that is

n!/[r!*(n-r)!]*p^r*(1-p)^(n-r)

Explain how to estimate 498 divided by 12?

Let's see. Estimating would start with rounding up 498. 498 will turn into 500. Next, we round 12. Twelve rounds to 10, so it ends up to become 500 divided by 10. 500 divided by 10 is 50. So, estimated, 498 divided by 12 would be somewhere near 50.

(by the way, 498 divided by 12 is actually, non-estimated, 41.5.)

How do you work out the probability that a biased dice will land on a six is 0.35?

You roll it many times. The probability that it lands on a six is the number of times that it lands on a six divided by the number of times the die has been rolled.

What is the least common factor of 60 and 84?

The least common factor of any set of positive integers is 1.

What does find the size of the sample space mean?

A concept in probability theory which considers all possible outcomes of an experiment, game, and so on, as points in a space.

You have a 3-card deck containing a king a queen and a jack you draw a random card then put it back and draw a second random card calculate the probability that you draw exactly 1 jack?

1 - the chance to draw 2 jacks - the chance to draw no jacks leaves you with the chance to draw just one by elimination.

1 - (1/3)*(1/3) - (2/3)*(2/3)

1 - 1/9 - 4/9

1 - 5/9

4/9

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