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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

Why wont a sample statistics change from sample to sample?

The sample mean may differ from the population mean, especially for small samples.

How many hands of 13 cards containing all 4 aces can be dealt from a 52 cards?

The question is the same as:

"After removing the 4 aces from a standard deck, how many different hands

of 9 cards can be dealt from the remaining 48 ?"

The calculation is

48! / (39! x 9!) = (48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 x 40) / (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2)

We get 1,677,106,640 .

What is esthetics?

it means you stink! Whatever? It is the practice of skincare, i.e. waxing, facials, etc.

Does every number have a reciprocal?

Every number except zero has a reciprocal.

Rolling three dice what is the probablity of obtaining different outcomes?

Depends if the dice is bias then you an not have an answer if it is fair then you times 6 by 3 which = 18 so if you want three different outcomes then 3/18 which is simplified to 1/6 of a chance!

Name of the very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls?

The binomial distribution which, for large numbers of rolls can be approximated by the Gaussian distribution.

What is strandard deviation?

It is a measure of how much individual values spread around the average.

Is tossing 1 coin 100 times the same as tossing 100 coins 1 time?

Depends on if you are talking about probability. If so then yes. If not then 100 coins is more than 1 coin.

What is the probability of throwing a sum of 8 with 2 dice in nine throws?

The first thing to do is isolate how many ways there are to get 8 from two dice. These possibilities are:

2,6

3,5

4,4

5,3

6,2

so there are 5 possibilities. The probability of each of these combinations is (1/6)2 or 1/36, so the probability of getting 8 in one throw of 2 dice is 5/36

For 9 throws, it is easier to calculate the probability of never getting 8. This is (1-probability of getting 8)9. (1-5/36)9 = (31/36)9 which is 0.26033. So the probability of getting an 8 somewhere along the line is 1-0.26033 or 0.7397

How many different four-letter secret codes can be formed if the first letter must be an S or a T?

If the first two letters must be an S or a T, then there are three remaining places that can be one of 26 letters. This is equal to 26 * 26 * 26 * 2, or 35,152 possible combinations.

What country does green marble come from?

The quary closed some thirty years ago. It was in Delta, Pennsylvania, USA.

What is the frequency for heads in a series of 100 tosses of a fair coin?

The theoretical frequency of heads will be .5 and as you do more and more coin tosses the observed frequency should get closer and closer to .5. With 100 tosses, it will be pretty close, but not exactly .5