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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

You roll a number cube what is the probability of rolling a 3 or 6?

1/3. To be exact, the 6 side has more holes than the others, and is therefore lighter and has a higher chance of being rolled.

What is the relationship between Confidence Interval and decreased Standard Deviation?

There is absolutely no relationship to what you've asked. I'm pretty sure you simply framed the question in the wrong way, but to literally answer your question... none. Zero relationship. There's no such thing. There is however a relationship between standard deviation and a CI, but a CI can in no shape way or form influence a standard deviation.

What is the probability of obtaining heads and a 2?

The second part of the question is not specific enough. Is it 2 on the roll of a die, a spin of a spinner, a card from a deck, a roulette wheel?

When you draw a sample from a normal distribution what can you conclude about the sample distribution?

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.

What is a probability of rolling an even number on a number cube?

50 % if say it was a 6 sided die it would be 3 in 6 our a twenty sided die 10 in 20 etc etc etc ... but theres always an equal anmount of each odd vs even

If you threw a 6-sided die 54 times about how many times would you expect it to land on 6?

The probability of getting a 6 with a single standard die is 1/6; so if a die is thrown 54 times the expectation (in the long run) would be that 1/6 of them would show a 6:

1/6 × 54 = 9 times.

You would expect a 6 on about 9 occasions.

Is Swiss Management Center legitimate?

Swiss Management Center is accredited by ACBSP (www.acbsp.org) , a CHEA recognized accreditation agency. The ACBSP is not a US Department of Education approved accredation agency. SMC also does not hold any accreditation by the Swiss government. Their degrees are illegal to use in many US states.

What is the difference between probably and possibly?

Both relate to uncertain events at least in the mind of the speaker.

Possibility used in a sentence:

"There's a possibility that he will arrive late."

As used there's some uncertainty or doubt to his time of arrival. There is doubt that he will arrive on time and a chance he will arrive late. Both events can occur. In fact he could arrive early.

On the other hand, probability goes further in identifying the degree of uncertainty:

"There's a high probability that he will arrive late."

Finally, probability theory is an area of mathematics.

possibility

noun

1.a future prospect or potential; "this room has great possibilities"

2.capability of existing or happening or being true; "there is a possibility that his sense of smell has been impaired" [ant: impossibility]

3.a tentative insight into the natural world; a concept that is not yet verified but that if true would explain certain facts or phenomena; "a scientific hypothesis that survives experimental testing becomes a scientific theory"; "he proposed a fresh theory of alkalis that later was accepted in chemical practices" [syn: hypothesis]

4.a possible alternative; "bankruptcy is always a possibility"

probability

noun

1.a measure of how likely it is that some event will occur; a number expressing the ratio of favorable cases to the whole number of cases possible; "the probability that an unbiased coin will fall with the head up is 0.5"

2.the quality of being probable; a probable event or the most probable event; "for a while mutiny seemed a probability"; "going by past experience there was a high probability that the visitors were lost" [ant: improbability]

Is it possible to be such a perfectionist that procrastination results?

Most definitely (and I speak from experience, here). One may spend so much time planning and obsessing over the details of a future plan--any sort of plan, from catering a party to writing a term paper-- that he or she fails to actually start the project with time enough to complete it. The quality of the end result then suffers and the perfectionist feels horrible about not measuring up, causing him or her to begin the planning/obsessing phase of the next project even sooner than the last time. In my case, the inevitable result of this cycle is a nasty migraine and and firm resolve to relax a bit.

What is the probability of rolling a sum of a 5 or a sum of a 7?

On two 6-sided fair dice:

  • Rolling a sum of 5: 4 out of 36, or 11.11%
  • Rolling a sum of 7: 6 out of 36, or 16.67%
  • Rolling a sum of either 5 or 7: 10 out of 36, or 27.78%

Here's why: Look at the dice as unique, (maybe one is red and one is blue). Then there are 36 different possible outcomes.

  • The four that give a sum of 5: 1+4, 2+3, 3+2, 4+1.
  • The six that give sum of 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1

So there are 4 chances out of 36 (or 1 out of 9 = 11.11%) to get a sum of 5, and 6 chances out of 36 (or 1 out of 6 = 16.67%) to get a sum of 7. If you want either 5 or 7 as a sum, add the chances together to get 10 out of 36 (or 5 out of 18 = 27.78%)

Why do you derive a standard normal distribution for data you assume to follow a normal distribution?

The normal distribution is very difficult to work with: the probability density function is not simple [I suspect that only a few mathematics graduates from university would be able to integrate it!]. The standard normal has been tabulated in considerable detail and so, if the normal is transformed to the standard normal, most of the analyses, hypothesis testing, confidence intervals and so on can be found by looking up tables.

What is the probability of being dealt a queen of clubs?

If only one card is dealt randomly from a deck of cards, the probability is 1/52.

What is the probability that the offspring of a homozygous dominant individual and a homozygous recessive individual exhibit the dominant phenotype?

Given those conditions, the offspring have a 50% chance of demonstrating the dominant phenotype and a 50% chance of demonstrating the recessive phenotype.

If a die is rolled one time what is the probability of getting a number greater than 5?

It is: 1/6

Since a die is cubic in shape and has 6 sides, and there is an equal probability of getting any one of them facing up (assuming the die is not loaded), and there is only one number on a die greater than 5, that being 6, the probability of rolling such a number is therefore 1 in 6, or .1666...

What is the shape of the binomial probability distribution in rolling a die?

The distribution depends on what the variable is.

If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial.

If the key outcome is the number of primes, composite or neither, the distribution is trinomial.

If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure.

If the key outcome is odd or even the distribution is binomial with equal probabilities for the two outcomes.

Thus, depending on the outcome of interest the distribution may or may not be binomial and, even when it is binomial, it can have different parameters and therefore different shapes.

What is the probability of drawing a queen from a deck of cards?

Considering there is 52 cards in a deck and 4 queens.... That would be the probability of 4 out of 52...

4/52 = 1/13 ~0,077

What is non-arithmetic function?

Trigonometric functions, exponential functions are two common examples.

A package contains 9 candy canes 6 which are cracked if 2 are selected find the probability of getting no cracked candy canes?

Probability of no cracked on 1st selection is 3/9, second is 2/8, so multiply 3/9 & 2/8 to get 6/72 or 1/12 or 0.0833.

How do you divide standard deviation?

Standard deviation is a number and you would divide it in exactly the same way as you would divide any other number!

Where can one purchase a rolling briefcase wheels?

Rolling briefcase wheels are available at office supply stores such as Office Depot and Staples as well as their online stores. Rolling briefcases are becoming very common and parts are also available at Amazon.

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