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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 flipping a coin and getting heads and then rolling an odd number on a number cube?

50/50 chance

A coin has 2 sides and 1 (half) of them are heads.

A number cube has 6 sides and 3 (half) of them are odd

When a deck of cards spills out your hands and falls to the ground gravity does work on it?

In a way, yes, however there's more to it. Everything is being affected by gravity, but for an object to be at rest, there is an equal force counteracting it. So while the cards are in your hand, the force provided by your muscles stop the cards (and your body) from collapsing under the pull of gravity. If you let go of the cards, there is no force counteracting the gravitational pull - the pull of gravity is now higher, the cards will fall to the ground, whereupon there is now an equal force pushing up on the cards, and they stop.

What is the total number of different four-letter arrangements that can be formed from the letters in the word vertical if each letter is used only once in an arrangement?

You have eight letters to work with, and can use any four of them, but only once per combination. That means that the total number of possible combinations you can make is:

8! / (8 - 4)!

= 8! / 4!

= 8 * 7 * 6 * 5

= 1680

So there are 1680 possible combinations.

Which side will land up in coin toss with 2 rand coin?

If we knew that, we would be rich by now. But we don't, and we're not.

Here are the probabilities, in one toss of 2 random coins:

-- Two heads . . . . . 25%

-- Two tails. . . . . . . 25%

-- One heads and one tails . . . 50%

How does a motor function?

a motor is powered by electricity in the motor you have winds of wire that take an electric charge,this is dischached thru a magnet. this in turn creates a feild which drives the stater and makes the motor spin that is how a motor works an engine however works on pistons compressing a liquid enuff to turn it into gas which is then ignited by a spark plug in a gasoline engine, or purely by compression in a diesel engine the burning of the fuel creates pressure which in turn forces the piston down ,which turns the crankshaft,which turns the drive train

Why do you find the sample space for an experiment to find the probability of an even?

You do not need to but it can help to identify all the possible outcomes so that you don't miss any out (by mistake).

Why is bell-shaped distribution so common in nature?

It is a consequence of the Central Limit Theorem (CLT).

Suppose you have a large number of independent random variables. Then, provided some fairly simple conditions are met, the CLT states that their mean has a distribution which approximates the Normal distribution - the bell curve.

How many permutations of the letters a through J are there?

The letters from a to J consist of 10 distinct letters. The number of permutations of these letters is calculated using the factorial of the number of letters, which is 10!. Therefore, the total number of permutations is 10! = 3,628,800.

Uwant totestcreatedWeb site so you have 250 people access it. Of the peps accessing the site 75 of them exp. computer crashes. Construct a 95 percent confidence interval for the proportion of crashes?

Estimated p = 75 / 250 = 0.3

Variance of proportion = p*(1-p)/n

= 0.3(0.7)/250 =0.00084

S.D. of p is sqrt[0.00084] = 0.029

Confidence interval:

phat-zval*sd = 0.3 - (1.96)(0.028983)

phat-zval*sd = 0.3 + (1.96)(0.028983)

Confidence interval is ( 0.2432 , 0.3568 )

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