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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 probability of picking a King from a deck of cards?

There are 4 Kings in a deck of 52 cards, so the probability of picking a King is 4/52 or 1/13.

From a uniform distribution why is the total area under the curve equal to 1?

Because the area under the curve is a probability and probabilities range from 0.00 to 1.00 or could also be written as 0% to 100%

If a bag contains 3 green marbles 5 blue marbles and 2 yellow marbles find the probability that the marble is blue?

Assuming that you're only taking out one marble, then:

Your sample space --> 3 + 5 + 2 = 10


The probability of getting a blue marble on the first draw is 3/10 or 0.3

What is the probability of drawing one joker from a deck of 52 cards?

The question should be ..............from a deck of '54' cards.

P(a joker from 54 cards) = 2/54 = 1/27

How do you determine legitimate probability distributions?

Well... the probabilities should add up to exactly 1 and cannot be negative.

How do you calculate standard deviation on casio fx-991ms?

mode--->SD(select by pressing 1)

Shift mode(CLR) and again 1 to erase any previous statistical Data(SCL)

input the relevent data n press M+ on each interval..then after addin all the data

Shift 2 SD can be taken using either pressing 2(for over 30 data) or 3(for less than 30 data)

What is the the relationship between population and sample parameter and statistic?

The relations depend on what measures.

The sample mean is an unbiased estimate for the population mean, with maximum likelihood.

The sample maximum is a lower bound for the population maximum.

In a study using 9 samples and in which the population variance is unknown the distribution that should be used to calculate confidence intervals is?

In a study using 9 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is

When is a t test better than a z score?

When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.

What percent falls below the mean for normal distribution?

In a normal distribution half (50%) of the distribution falls below (to the left of) the mean.

How do you find the probability density function?

The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function).

More material on density functions can be found by following the links below.

What is a probability of an event?

Lets first start by defining some terms:

Probability (P) in statistics is defined as the chance of an event occurring.

Probability experiment is a chance process that leads to results called outcomes.

An outcome is the result of a single trial of a probability experiment.

A sample set is the set of all possible outcomes of a probability experiment.

An event consists of a set of outcomes of a probability experiment. An event can be one outcome or more than one outcome. The event can be anything from flipping a coin, to rolling a die, to picking a card.

The probability of any event (E) is:

(# of outcomes in E) / (total # of outcomes in sample space)

For example: Find the probability a die is rolled and you get a 4?

We know that there are 6 possibilities when rolling a die. We can either rolled a 1, or a 2, or a 3, or a 4, or a 5, or a 6.

Using the equation above:

P(rolling a 4)= 1/6

The event in this case is rolling a 4.

What is the chance of getting a 3 when rolling a die?

1/6 because there is only one three out of the 6 numbers on the die itself.
1/6
1 in 6 chance. Or 0.166666666666667.
With a single cube, the probability = 1/6 = 16-2/3 percent.

With a pair of cubes, the probability = 2/36 = 5-5/9 percent.

How many combinations are in a 5 digit number where all digits are distinct and nonzero?

There are 126 different 5 digit combinations.

Note that the combination 12345 is the same as the combination 45312.