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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 rolling two dice what are the odds of not rolling a 1 or 2 25 times in a row?
The odds of not rolling a 1 or 2 with two dice is 35 in 36. The odds of doing that 25 times in a row is (35/36)25 or about 0.4945
Note: The odds of not rolling a 1 is zero, so the answer degraded to the odds of not rolling a 2.
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Opinion #2:
-- There are 36 possible outcomes when 2 dice are rolled.
-- Only one of the outcomes is a 2.
-- So the probability of NOT rolling a 2 with 2 dice is 35/36 .
-- In 25 consecutive rolls, the probability of never rolling a 2 is (35/36)25 = 49.45% .
-- The 'odds' are 1,011 to 989 against it.
The probability of getting 3 aces in the order AAABB
is; P(AAABB)
=
(4/52)∙(3/51)∙(2/50)∙(48/49)∙(47/48) =
0.0001736...
There are 5C3 =
5!/(3!∙(5-3)!) =
10 different ways in which the aces can come
out.
So the probability of getting exactly three aces in a five card poker hand dealt
from a 52 card deck is, P(3A)
~ 10∙(0.0001736) ~ 0.001736 ~ 0.1736%
How do you calculate standard normal variate?
You use the z-transformation.
For any variable X, with mean m and standard error s,
Z = (X - m)/s is distributed as N(0, 1).
You use the z-transformation.
For any variable X, with mean m and standard error s,
Z = (X - m)/s is distributed as N(0, 1).
You use the z-transformation.
For any variable X, with mean m and standard error s,
Z = (X - m)/s is distributed as N(0, 1).
You use the z-transformation.
For any variable X, with mean m and standard error s,
Z = (X - m)/s is distributed as N(0, 1).
D+J = 328
M+D = 176
J = 5M
D+5M = 328
D+M = 176 subtract
4M = 152
M = 38
D = 176-38 = 138
What would -2 standard deviation below the mean be?
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
There are 100 ways - including those where one participant wins both prizes.
There are 100 ways - including those where one participant wins both prizes.
There are 100 ways - including those where one participant wins both prizes.
There are 100 ways - including those where one participant wins both prizes.
What does it mean to find the compliment of the probability of an event?
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.
How many possible ways to arrange the word Mississippi?
Nonew, since mississipi is not a word!
Nonew, since mississipi is not a word!
Nonew, since mississipi is not a word!
Nonew, since mississipi is not a word!
What z-score value separates the highest 40 percent of the scores from the rest of the distribution?
0.2533
What are the differences between probability sampling and non probability sampling?
In a probability sample, each unit has the same probability of being included in the sample. Equivalently, given a sample size, each sample of that size from the population has the same probability of being selected.
This is not true for non-probability sampling.
How do you find the mean of frequency distributions?
For discrete distributions, suppose the variable X takes the specific value x with probability P(X=x)
Then add together x * P(X = x) for all possible values of x.
For continuous distributions, suppose the probability distribution function of the variable X is f(x).
Then the mean is the integral of x*f(x) with respect to x, taken over all possible values of x.
How many equally likely outcomes are in a 6 faced dice?
Six of them, if the cube is honest (balanced).
What is the probability that a family with 4 children has at least 2 girls?
Assuming that boys and girls are equally likely, it is 11/16.
That depends.
Picking a red ball is 4/9
Picking a green ball is 3/9 = 1/3
Picking a yellow ball is 2/9.
Picking a ball is 9/9 or 1 because you'll always take one.
How many different ways can you rearrange the letters of the word 'chocolate'?
Make notes that:
- There are 2 c's in the given word.
- There are 2 o's in the given word.
Since repetition is restricted when rearranging the letters, we need to divide the total number of ways of rearranging the letters by 2!2!. Since there are 9 letters in the word to rearrange, we have 9!. Therefore, there are 9!/(2!2!) ways to rearrange the letters of the word 'chocolate'.
We select 1 shirt out of 6 shirts in (6 choose 1) ways or 6 ways. Then, we select 1 out of 3 pairs of shorts in (3 choose 1) or 3 ways. Therefore, the possible combinations of a shirt and a pair of shorts is 6 * 3 = 18 possible combinations.
How likely is it for an event to happen written as a percentage?
100 times its probability.
100 times its probability.
100 times its probability.
100 times its probability.
How does sample size affect the size of your standard error?
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
What is the mean of a normal distribution?
It is the expected value of the distribution. It also happens to be the mode and median.
It is the expected value of the distribution. It also happens to be the mode and median.
It is the expected value of the distribution. It also happens to be the mode and median.
It is the expected value of the distribution. It also happens to be the mode and median.
How many permutations are there of the following word combinatorics?
=13!/(2!*2!*2!) = 778,377,600
=13!/(2!*2!*2!) = 778,377,600
=13!/(2!*2!*2!) = 778,377,600
=13!/(2!*2!*2!) = 778,377,600
What can be said about a set of data when its standard deviation is small but not zero?
This means that the set of data is clustered really close to the mean/average. Your data set likely has a small range (highest value - lowest value).
In other words, if the average is 6.3, and the standard deviation is 0.7, this means that each individual piece of data, on average, is different from the mean by 0.7. Each piece of data deviates from the mean by an average (standard) of 0.7; hence standard deviation!
By definition, 66% of all data is 1 standard deviation from the mean, so 66% of the data in this example would be between the values of 5.6 and 7.0.
