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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

How many 5 of diamonds in deck?

Only one 5 of diamonds card is found in a standard 52 card deck.

Why is it important to learn probability?

I asked myself that then it appeared more and more in life it helps in cards, spending money, stocks, betting, quite alot of different things.

What does the z score of 1.3 mean?

It means that there is a probability of 0.0968 that an observation as extreme as this occurred purely by chance.

What is needed to develop a bionomial probability distribution?

A number of independent trials such that there are only two outcomes and the probability of "success" remains constant.

What is the z score of 70.00?

There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. It would also be useful to develop the habit of checking your questions for completeness before posting them.Calculation of a z-score requires information on the mean and standard error of the variable for which the z-score is to be calculated.

Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?

Not quite. The listing must also be exhaustive: it must contain all possible outcomes.

For the roll of a fair cubic die, consider the following:

Prob(1) = 1/6

Prob(2) = 1/6


This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.


What is the probability of getting 5 out of 6 True false questions correct?

The answer should depend on how well you know the topic! It also depends on whether you have enough intelligence to make at least some informed guesses.

But assuming you do not have that basic intelligence and are still doing the questions by simply guessing, the probability is 0.0938

What is the probability that a far six sided die rolled until the first 5 occurs on the tenth roll?

For the first 5 to appear on the tenth roll, the first nine rolls must not be a 5 and the tenth must. Therefore:

probability = (5/6)9 x 1/6

≈ 0.0323

= 3.23 %

Can a z score be a negative value?

Yes. However, because the distribution is symmetric about 0, some tables give only positive values for z.

Are probability and random sampling anonymous?

Probability is a branch of mathematics and so is not linked with any individual and so is anonymous. Random sampling may or may not include information that will allow the contributor to be identified. So it may or may not be anonymous.

If a coin is tossed 5 times what is the probability of getting tails no more then 2 times?

The probability is 0.5

The probability is 0.5

The probability is 0.5

The probability is 0.5

How many outcomes are there for the event of rolling a 6 sided number cube and then spinning a 10 part spinner?

We say that these are independent events, meaning that the outcome of rolling the cube does not influence what outcome of rotating the spinner. For each outcome of rolling the cube there are 10 outcomes from the spinner. We can therefore, multiply the numbers of possibilities: 6 * 10 = 60

One way of seeing this is to list the possible outcomes :

C1 S1

C1 S2

C1 S3

.

.

.

C1 S10

Notice that there are 10 spinner possibilities for one cube event. There are 5 more possible cube events, hence, 50 combination events.

What is an example of relative frequency probability?

Flip a coin 1000 times, counting the number of 'heads' that occur. The relative frequency probability of 'heads' for that coin (aka the empirical probability) would be the count of heads divided by 1000. Please see the link.

What is the probability of spinning a number greater than 5 or less than on this spinner?

The answer depends on the spinner: how many sides it has and how they are numbered. These details are not given in the question and so there is no way to answer the question.

The answer depends on the spinner: how many sides it has and how they are numbered. These details are not given in the question and so there is no way to answer the question.

The answer depends on the spinner: how many sides it has and how they are numbered. These details are not given in the question and so there is no way to answer the question.

The answer depends on the spinner: how many sides it has and how they are numbered. These details are not given in the question and so there is no way to answer the question.

What examples are there for a theoretical probability of 100?

No probability - theoretical or not - can be 100. Therefore no examples are possible.

No probability - theoretical or not - can be 100. Therefore no examples are possible.

No probability - theoretical or not - can be 100. Therefore no examples are possible.

No probability - theoretical or not - can be 100. Therefore no examples are possible.

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