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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
When can you say the distribution is considered normal?
When its probability distribution the standard normal distribution.
What are the odds of rolling a small straight 12345 with five dice with the rules of yahtzee?
The probability is 120/7776 = 0.0154, approx.
How do you give the probability of a sum?
You find the event space for the random variable that is the required sum and then calculate the probabilities of each favourable outcome. In the simplest case it is a convolution of the probability distribution functions.
If the sample consisted of n observations, then the degrees of freedom is (n-1).
What is the probability of the same two individuals having a child who can roll their tongue?
If the individuals can't roll their tongue, then the child won't be able to roll it's tongue. If they can roll their tongue, then the child will be able to roll it's tongue. it just depends.
What is the probability of getting a black pen if you have 4 black pens 6 blue pens and 2 red pens?
one out of three
A simple random sample or a probability sample.
What is the probability of rolling a 6 sided dice and getting a factor of 20?
The factors of 20 on a die are: 1,2,4,5
Therefore it is a 4 out of 6 chance you will roll one of the factors. In simplest form, a 2 out of 3 chance or 66 2/3 chance.
What is the sample variance and the estimated standard error for a sample of n 4 scores with SS 300?
The sample variance is obtained by dividing SS by the degrees of freedom (n-1). In this case, the sample variance is
SS/(n-1) = 300/(4-1) = 300/3 = 100
In order to get the standard error, you can do one of two things:
a) divide the variance by n and get the square root of the result:
square.root (100/4) = square.root(25) = 5, or
b) get the standard deviation and divide it by the square root of n.
10/square.root(4) = 10/2 = 5
What is the probability of rolling a number less than 5 AND an odd number on one die?
The answer depends on how many times the one die is rolled!
In just one roll, the answer is 1/3.
When two number cubes are rolled what is the probability that their sum will be 3?
On a roll of two dice, the chance of rolling a 3 (one and two) is 2 in 36, or 1 in 18 when reduced.
What percent of the scores in a normal distribution will fall within one standard deviation?
It is 68.3%
How would you characterize the distribution of scores in a normal distribution?
They are said to be Normally distributed.
How many five-card hands are possible in a 52 card deck This is probability?
There are 2,598,960 5-card hands.
This is combinatorials, which is used in probability but is not probability itself.
When a coin is tossed 10 times what is the probability of getting exactly six head?
Assuming it is a fair coin, P(6H in 10 tosses) = 10C6 * (1/2)6*(1/2)(10-6) = [10*9*8*7/(4*3*2*1)]/210
=210/1024 = 0.2051
What is the probability of selecting a car with a manual transmission?
The basic information required is the number of manual and automatic transmission cars that are in the region in which the selection is made. This will vary according to the region. Since that information is not available, it is not possible to give a useful answer to the question.
What is the probability of the coin landing heads up twice and tails up one?
What is the chance of it landing on heads twice in a row?
What are the odds that a letter picked at random is a vowel?
Normally 5/26 but if you count "y" as a vowel, 6/26 or 2/13.
