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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 are the marble manufaturing procesess?

A glass child's marble is made by dropping a small slug of semi liquid glass into the space between the pair of rounded grooves, that spiral away along a pair of rollers. Emerging as a round marble, and now cooler.

How many times would you expect draw the ace of spades if you have 13 cards in each of four suits and draw one card?

The probability of drawing the Ace of Spades from a standard deck of 52 cards is 1 in 52, or about 0.01923.

However, the number of times you can expect to draw it depends on random statistics. If you tested this a large number of times, shuffling the deck each time, you would expect about 1 out of every 52 trials to be the Ace of Spades, but that would only be in the long run, say for thousands and thousands of trials, and even then, it would not be exact.

This is the difference between theoretical probability and experimental probability. Theoretical probability is based on pure statistics and the arrangement of the test. All you can say is that, for an infinite number of trials, you would expect 1 out of 52. In the case of experimental probability, you are limited by the number of trials that you can perform. Lets say you ran 10,000 trials. Theoretically, you would expect to draw the Ace of Spades about 192 times. In practice, you would have a range of results.

When rollling a number cube what is the probability of rolling an even or a divisor of 6?

The evens are 2, 4, and 6. The divisors of 6 are 1, 2, 3, and 6. The intersection of these two sets is 1, 2, 3, 4, and 6. The probability, then, of obtaining a 1, 2, 3, 4, or 6, on a standard 6 sided die is 5 in 6, or about 0.8333.

What is the probability that the sum of the dice is less than five and one shows a 2?

If the sum of two dice is less than 5, and one die shows 2, then the other die must be less than 3, i.e. 1 or 2. The probability of rolling less than 3 on one die is 2 in 6, or 1 in 3, or about 0.3333.

The other die does not enter into the calculation because its value is already known, as stated in the question.

Which correctly expresses the probability what what is the probability that i fail this quiz I mean i did study awfully hard for it?

Unfortunately, given the limited information in your question, all that can be said with certainty is that the probability is somewhere between 0 and 1.

What is mean absolute deviation 63 69 62 57 64?

Step 1: Find the mean

Step 2: Find the deviation from the mean

Step 3: Take the absolute value of the deviation

Step 4: Find the mean of the absolute deviation.

x----x-mean

63 63-63 0

69 69-63 6

62 62-63 -1

57 57-63 -6

64 64-63 1

mean = (63+69+62+57+64)/5 = 63

Taking the absolute deviations, we have 0,6,1,6,1

Averaging these deviations : (0+6+1+6+1)/5 =14/5 = 2.8

Mean absolute deviation = 2.8

Consider a population with a mean of 63.3 and a standard deviation of 3.82 and a score of 61.6. Calculate the z-score for 61.6 from a sample of size 19?

Mean μ = 63.3

Standard deviation σ = 3.82

Standard error σ / √ n = 3.82 / √ 19 = 0.8763681

z = (xbar - μ) / (σ / √ n )

z = (61.6-63.3) / 0.876368

z = -1.9398

What is experemental probobility?

Expirimental probability is when you use an expiriment to find the probability of a certain predicament.

For example:

Let's say you flip a coin 10 times. Before you flip you guess that you flip 5 heads and 5 tails or 1/2 heads and 1/2 tails. You guess this because one side is heads and the other side is tails so its an even risk. This is theoretical probability. When you actually do flip the coins you get, lets say, 8 heads and 2 tails. This would make your expirimental probability 4/5 heads and 1/5 tails. That is because you based the evidence on an expiriment rather than a guess. The longer the expiriment is, the more accurate your evidence will be.

What is the probability of getting 3 heads on 5 flips?

well the possible outcomes are as follows (H=Heads T=Tails)

  1. H H H H H
  2. H H H H T
  3. H H H T T
  4. H H T T T
  5. H T T T T
  6. T T T T T

That's six different possibilities you can have therefore the chance of getting 3 heads is one (because there is only one possibility with three heads) over six (because there are six possibilities)

1/6

How do you obtain moment generating function Log-normal distribution?

You cannot because it does not exist.

Although all the moments of the lognormal distribution do exist, the distribution is not uniquely determined by its moments. One of the consequences of this is that the expected values E[e^tX] does not converge for any positive t.

What specials events happen in Alaska?

The dog race but i dont remember what it is called.It starts with a I.Thx foe reading!

How many elements are in the event space if you roll a sum of 9 with 2 dice?

A sum of 9 with 2 dice can be achieved with 3+6, 4+5, 5+4, and 6+3, so there are 4 elements in the event space for a sum of 9. This corresponds to a probability of 4 in 36, or 1 in 9, or about 0.1111 for that result.

Why did schrodinger use probability?

Erwin Schrödinger was a physicist and a father of quantum mechanics. Quantum mechanics deals a lot with probability. His famous Schrödinger equation, which deals with how the quantum state of a physical system changes in time, uses probability in how it deals with the local conservation of probability density. For more information, please see the Related Link below.

When a card is drawn what is the probability of getting A jack A4 a card less than 6?

There are 4 jacks in a pack of cards. There are 52 cards in a deck, so the probability of getting a jack is 4/52. This can be simplified to 1/13.

There are also four 4s in a deck, so the probability of drawing a 4 is also 1/13.

The probability of drawing a card less than six is the probabilities for drawing a 5, a 4, a 3, a 2, and an ace all added up. This is 5/13.

When rolling dice are all the sums equally likely?

No. All of the permutations are equally likely, but the distinguishable combinations, and the permutations of the same sum are not. Take two dice, for instance. There are 36 permutations. The sums 2 and 12 each have only one permutation, so their probabilities are 1 in 36, each. The sum 7, however, has 6 permutations, 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, so the probability of a sum of 6 is 6 in 36, or 1 in 6.

What kinds of situations give rise to a poisson distribution?

Events occurring independently, singly and at a constant rate (in time or space).

How many four-digit numbers can be formed if the leading digit cannot be zero?

There are 9 x 10 x 10 x 10, or 9000 four-digit number that can be formed if the leading digit cannot be zero.