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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 would be the probability of tails when you are flipping a quarter?
1/2 if the quarter is 'fair'.
What is the probability of a woman giving birth to 6 daughters in a row?
Theoretically we might imagine that the probability that a woman would give birth to a daughter would be 1/2. With this assumption then the probability would be 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = (1/2)6 = 1/26 = 1/64
However, there are other considerations:
- The ratio of boys to girls at birth varies by country. (The most boys to girls occurs in-wait for it-Liechtenstein.) This means that the probability of giving birth to six girls in a row in some country would be less, in others maybe more.
- If a women gave birth to three girls in a row then you would have some grounds for suspecting that there could be something about her and her partner that favours the conceptions of girls. If this were true then the probability of there being six girls in a row would be much higher.
What are theoritical probabilities?
The word is theoretical, not theoritical nor theoretrical.
There are two main ways of determining the probability of an event. One is the theoretical method in which you have a model of the experiment. You may need to make some assumptions about the model and then you should be able to calculate the relevant probabilities.
Consider, for example, rolling a normal die. There are six possible outcomes: the numbers 1 to 6. You assume that the die is fair (not loaded). [You implicitly also assume that the laws of physics do not change, that the die does not end up on a corner or an edge.] You can then infer that each of the faces has an equal probability of turning up. That is, each has a theoretical probability of 1/6.
You could get a similar result by using the other method for determining probability: the empirical method. Roll the die many times and record the outcomes. Then divide the number of times that 1 turned up by the total number of throws. That is the empirical probability of getting a 1. Similarly for the other numbers. You will find that, if the die is fair and is rolled often enough, these probabilities will be very close to 1/6 even though they might not be exactly that.
So why not simply use theoretical probabilities? There are many times when theoretical probabilities are impossible to calculate because there is insufficient information to build a reliable model. What is the probability that the next car that passes my front door is red? I have no idea how many red cars there are and how many cars in total. Also, do I want all cars in the country or only those within a 20 km radius? If the person next door has a red car but always goes in the direction away from me, she will never be a red car across my door - so distance alone is not good enough. So actually I need to know about cars that have some reason to go past my door. The more I think about it the more complex the model becomes. It is much easier to find a comfy chair and sit and record the colours of cars as they go past. After a while I will have a pretty good idea what proportion of them are red - and that is the empirical or non-theoretical probability.
When are two events considered to be independent?
The outcome of either event does not depend on the outcome of the other.
How many diagonals does a irregular hexagon?
It varies. If it has reflex angles, then it varies, depending on the number of reflex angles and their location in relation to each other. Otherwise (if it has no reflex angles) then it has 4 diagonals.
Where can one purchase a rolling briefcase?
One can purchase a rolling briefcase online at several retailers. Just a few are Amazon, Overstock, Luggage Online, Wayfare, Macy's, as well as Office Depot.
What the ethical issues in probability distribution?
Probability distribution is when all the possible outcomes of a random variation are gathered together and the probability of each outcome is figured out. There are several ethical issues with this one being that it is not always accurate information that is gathered.
What is the importance of probability in population?
It is usually impossible to work out exactly how large population will behave in any given circumstance. However, it may be possible to assign probabilities of different responses to each member of the population and then, using the rules of probability, calculate how the population - as a whole, or on average - is likely to behave.
It is calculus.
Probability distributions can be described by functions and mathematical manipulation of those functions using algebra - and particularly calculus - enable complicated probabilities to be calculated.
What are four possible outcomes of competition?
- The competition pushes both competitors to do better so both prosper.
- Competitor A wipes out B.
- Competitor B wipes out A.
- The competition pushes both competitors so hard that they both fail, and someone else moves in.
What is the fundamental counting principal of tossing 4 coins?
For each of the coins, in order, you have two possible outcomes so that there are 2*2*2*2 = 16 outcomes in all.
How do you express probability problem in fractionpercentdecimaland ratio explain?
The probability of an event is a real number in the interval [0, 1]. It can, therefore, be expressed in any way in which such a number may be expressed: as a fraction, percent, decimal or a ratio.
The probability of an event is a real number in the interval [0, 1]. It can, therefore, be expressed in any way in which such a number may be expressed: as a fraction, percent, decimal or a ratio.
The probability of an event is a real number in the interval [0, 1]. It can, therefore, be expressed in any way in which such a number may be expressed: as a fraction, percent, decimal or a ratio.
The probability of an event is a real number in the interval [0, 1]. It can, therefore, be expressed in any way in which such a number may be expressed: as a fraction, percent, decimal or a ratio.
What is the probability of drawing two jacks and 3 tens of any suite from a standard deck of cards?
The probability of drawing two jacks and three tens of any suite from a standard deck of cards is:
5C2 ∙ (4/52)∙(3/51)∙(4/50)∙(3/49)∙(2/48) = 0.00000923446... ≈ 0.0009234%
where 5C2 = 5!/[(5-2)!∙(2!)] = 10
How many different ways can the letters in the word pants be arranged?
Pants = 5 letters
5!
which is,
5 * 4 * 3 * 2
= 120 ways
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How do fraternal twins devolpe?
two separate and distinct eggs are fertilized at the same time growing in the womb together, but having different DNA.
What is the emperical probability of someone winning the pick three lottery?
Empirical probability is based on data gained through experimentation. If there is cause to believe that, for example, there is some bias in the balls of the lottery machine, looking at the outcome for a long period of time may show this.
Theoretically, the probability of someone winning a pick-three lottery, where the numbers range from 000 to 999, is 1/1000 because you pick one 3-digit combination from the 1,000 available.
Is the beta distribution is a special case of dirichlet distribution?
In a sense.
Beta distributions are the marginal distributions of the Dirichlet distribution.
It is easy. A single event cannot be any of the things mentioned in the question.
It is easy. A single event cannot be any of the things mentioned in the question.
It is easy. A single event cannot be any of the things mentioned in the question.
It is easy. A single event cannot be any of the things mentioned in the question.
What is the probability of rolling a 6 in a single roll on a number cube?
It is 1/6
It is 1/6
It is 1/6
It is 1/6
