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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 the probability of rolling a four on an eight sided die numbered from one to eight?
The probability of rolling a four on an eight sided octahedron is 1 in 8, or 0.125.
What a large standard deviation means?
A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one.
For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.
What is the secret to accurately guessing how many marbles a jar holds?
Marbles are considered spheres, and there's a mathematical rule to define the random close-packing of spheres in a confined space. Basically:
- Calculate the volume of a single marble (using the formula Vmarble= 4/3πr3 to determine the volume of the sphere from its radius, which is half its diameter).
- Then calculate the internal volume of the jar, using the formula Vjar= πr2h for calculating the volume of a cylinder.
- Divide Vjar by Vmarble; then multiply by .6, as this represents how much of the space inside the jar is (probably) filled with marbles. In other words, N ≈ .6 (Vjar/Vmarble). (Obviously, N then needs to be rounded off to the nearest whole number.)
Or if this is too much work, you can try counting the number of marbles at the bottom (or at the top), and then counting the number of rows there appear to be. Either way, good luck.
What is a region in an atom where there is a high probability of finding electrons?
The electron cloud. The atomic radius roughly describes the distance from the nucleus to the electron cloud.
What is the difference between Sampling error vs sampling bias?
Sampling error leads to random error. Sampling bias leads to systematic error.
What is the probability of spinner landing on a 3?
It depends on how many sides the spinner has, a detail that was not provided in the question. If the spinner has 7 sides, and there is only one 3, then the probability of landing on a 3 is 1 in 7, or about 0.1429.
How do mean deviation from median?
The mean deviation from the median is equal to the mean minus the median.
What is a number occuring most frequently in a set of numbers?
The most probable value in a set of numbers is the mode.
Why do surprises rarely occur at trial?
Because a lawyer almost never asks a question to which he or she does not already know the answer.
What is the probability of getting 4 dots on top in rolling two dice?
The probability of rolling a 4 in a die is 1 in 6, or about 0.1667. The probability, then, of rolling a 4 in at least one of two dice rolls is twice that, or 2 in 6, or 0.3333. The probability of rolling a sum of 4 in two dice is 3 in 36, or 1 in 18, or about 0.05556.
What is the probability of getting male and female offspring in human?
The male to female human sex ratio varies, due to demographics, environment, sex deterministic abortion, and imbalance in the male/female sperm viability ratio. The secondary ratio of boys to girls is about 105 to 100, or about 0.525 male. Estimates of the current birth sex ratio is about 0.535 male. The current global sex ratio (population) is about 0.507 male (2010) to 0.508 male (projected 2011).
What are the chances of not picking a club out of 52 cards?
One quarter of the pack are CLUB cards. Three quarters of the pack are NOT CLUB cards.
So the chance (probability) of picking a CLUB card is 1 out of 4 = 0.25
The chance (probability) of picking a NOT CLUB card is 3 out of 4 = 0.75
Adding the various probabilities the answer must always be 1.0, which is true here.
If the probability of something happening is 1.0, that means the probability is "certainty". It is bound to happen.
What is the probability of a square number?
In the set of the first n integers, the number of a square number is approximately sqrt(n). So the probability of a square number is sqrt(n)/n = 1/sqrt(n). As n becomes larger this probability tends towards 0.
What are the requirements for probability distribution?
(1) That the probabilities lie between 0 and 1.
(2) The sum of all probabilities of the distribution sum up to 1.
What is the complement of rolling a die and getting a 4?
The complement of rolling a die and getting a 4 is rolling a die and getting a 1, 2, 3, 5, or 6.
First, you add all the numbers together- 5+6+4=15. So the number of red marbles (5) and the total number of marbles (15)= 5/15=1/3
Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.
