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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 the probability of rolling a sum of nine with a single toss of two fair six sided dice?

There are 36 different ways to roll 2 6-sided dice.

The ones that make 9 are:

3+6 , 4+5 , 5+4 , 6+3

4 out of 36 = 4/36 = 0,111111111 = 11,1 %

When two balanced dice are rolled there are 36 possible outcomes what is the probability that the sum of the numbers on the dice is greater than 10?

Out of the 36 possible and equally-probable outcomes (1st die's number and 2nd die's number), only 3 combinations give you a sum greater than 10:

* 1st die gives a 5 and 2nd die gives a 6

* 1st die gives a 6 and 2nd die gives a 5

* 1st die gives a 6 and 2nd die gives a 6

Therefore the probability that the sum is greater than 10 equals 3/36, or 1/12.

How is it possible to not roll a 6 with 6 dice?

if you are talking about getting a roll that totals 6 - there is only one way to roll that - get all ones. as such there are 6^6 -1 = 46656 -1 = 46655 other ways to roll the dice. so the odds of not rolling a total of 6 with 6 dice is 46655/46656 = .~99.997857%.

If you are talking about not rolling a 6 on ANY of the dice, there are 5 ways to roll each die that will give you something other than 6 so the number of ways to not roll any 6's is 5^6 = 15625. That means the odds of not rolling any 6's on 6 dice is 15625/46656 = ~38.489798%

When a coin is tossed why it appears head or tail?

Those are the names given to the two faces of a coin. From early days, coins had an image of important persons - kings, queens, emperors, on one face and that face was called heads. The reason for the other side being called "tails" is uncertain.

These are the only two outcomes of a coin being tossed. Although there is a non-zero probability of the coin falling and remaining on its edge, it is small enough to be ignored in practice.

How To get valid results small samples are sufficient?

I will assume the sample is random. In general, the larger the sample, the smaller the percentage error will be (the difference between percentages in the sample, and the percentages in the universe from whence the sample is taken). The percentage error tends to go down as the square root of the size of the sample.

How many ways can you place 30 books on a row in a shelf if 15 books are novels 10 are history and 5 are math?

What has the subject matter to do with it? It would help potential answerers to give an accurate reply if questions were precisely worded.

How many eyes are in a pack of 52 cards?

42, but maybe more.

In the traditional standard English deck design, there are 42 eyes

2 x 2 eyes on each of the 4 queens ==> 16 queen eyes

2 x 2 eyes on 3 kings, but 2 x 1 on the king of diamonds ==> 14 king eyes

2 x 2 eyes on the jacks of diamonds and clubs, but 2 x 1 on the jacks of hearts and spades ==> 12 jack eyes

But continental European decks have different designs for their royalty, which usually show all 4 eyes for each of the face cards, making a total of 48 eyes.

What is 24 pecks - 3 bushels?

Since four pecks is one bushel, then 24 pecks - three bushels is 12 pecks, or three bushels.

What is the probability of rolling a ten with a pair of number cubes?

assuming a pair of dice...

4 possibilities out of 36 total possible results are:

4,6

6,5

5,5

5,5

So P(10) = 4/36

What is the fightening event that happen in the giver and why is the particular plane unusual?

The frightening event in The Giver was went Jonas saw the cargo plane, but he was more apprehensive! This plane was unusual because they are not used to planes in the community, because it is "controlled"

What is the chance of picking a jack from a pack?

The probability that a random card picked from a standard pack is a Jack is 1/13.