Probability

probability is 43.3%

3 out of 6

You can't get 14 with two regular six-sided dice ! The highest you can get with one throw is 12.

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The expected value is the number of tosses times the probability of tails, so:

E(number of tails) = 52 * 1/2 = 52/2 = 26

Ans : Probability that there will be at least one case of twins = 1-(79/80)^20

One in six chances of getting a six

On the standard deviation. It has no effect on the IQR.

To find the range of a data set, you first need to order the data from smallest to largest. In this case, the data is already ordered in such a way. The next step is to take the least (-4) and greatest (1) numbers, and subtract the least from the greatest. In this case, we'd do 1-(-4) which equals 5. Thus the range of the data set in the question is 5.

discrete

i y=use Z-test

11 out of 10

11

10

the variance is infinitely large and in the extreme case the probability distribution curve will simply be a horizontal line

The odds are set so that the longer you play, the more probable it is you will lose. Its like betting on a jar with a thousand marbles in it. 600 of the marbles are black and 400 are white. You bet $1 each time a marble is picked and your bet is that a white marble will be picked. If a white marble is picked, you get your $1 back plus an additional $1. As the marbles are being picked, you may be winning at times but ultimately you will lose $200 because there are 200 more black marbles than white marbles. This may seem very simplistic but it is exactly what happens when you play craps.

Margin of error, level of significance and level of power are all elements that will affect the determination of sample size.

Use the following integral to find the first and second moments. The mean is, of course, the first moment and the variance is the second moment minus the first moment squared. :<math>\int_{0}^{\infty} x^{n} e^{-ax^2}\,\mathrm{d}x =

\begin{cases}

\frac{1}{2}\Gamma \left(\frac{n+1}{2}\right)/a^{\frac{n+1}{2}} & (n>-1,a>0) \\

\frac{(2k-1)!!}{2^{k+1}a^k}\sqrt{\frac{\pi}{a}} & (n=2k, k \;\text{integer}, a>0) \\

\frac{k!}{2a^{k+1}} & (n=2k+1,k \;\text{integer}, a>0)

\end{cases} </math> (!! is the [[Double factorial]])

It is a paradox! The more unlikely it is the more improbable it is, therefore the more likely it is the more probable it is. The factor which devides the ultimate question is that atomic particles do not have conciousness, therefore, they may act differently from say someone or a being (say a person) with a conciousness. This equates self awareness and the attitude that self awareness although arbitrary may be retained by the individual without any notion of familiarity. Writter Greg Ori Mathers 2013. Queensland Australia.

If there are two possible outcomes, the probability would be 50% or 1/2 (AN EVEN CHANCE). "Equally likely events" refers to the chances of each possible outcome among many being equal. For example, using a six-sided die in a dice game yields a 1/6 chance for any one of the numbers to appear on top of the cube. Assuming that the die is not loaded, all six numbers are presumed to have an equal likelihood to end up on top in a given throw.

The probability that a flipped coin has a probability of 0.5 is theoretical in that it assumes the existence of a perfect coin. The same can be said of the probabilities of the spots appearing on a single tossed die which requires the existence of a perfect die. Here's an example. Consider tossing a coin twice to see what comes up. It could be tail, head, or head tail, or tail, tail or head, head. The theoretical probability of two heads is one in four. In general, theoretical probability is the ratio of the number of times a possible outcome can occur in a given event to the number of times that event occurs.

Rhombus and Square (since a square is just a "special" rhombus, with right angles)

I'm assuming that a "1-8 spinner" is similar to an eight-sided die, so the probability of spinning a 10 is zero.

When throwing dice, or flipping a coin, etc., each outcome is independent. That is, it's not influenced by the previous outcome(s). So if you get three 8s in a row then the probability of getting an 8 on the fourth throw remains at 1/8. The probability of an 8 on each and every throw is always 1/8.

The event is not random: it depends on the inclination, attitude, ambition, ability etc of the person making the selection as well as the range of options on offer from the educational establishment.

Probability means Chance...in the name itself it explains....

Well, we can tell probability is an exact science only when, the data and logic and external dependent variables are exactly defined before going to calculation...

If we do all the above exactly, the result will give exact chance or probability....for your need..

But in reality it is very hard to obey all the formulations of data in a series...only experts can do...

I am also like to enjoy the real exact probability theory...

we compute it by using their differences