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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

What are odds of all six numbers on six-sided dice appearing if you roll seven dice?

The probability is 15120/279936 (35/648 in lowest terms), or about .054 (about 1 time in every 18.5 tries). Verified by simulation.

Usually people asking for odds actually mean probability, but in case it really is what you want, the odds would be 35:613 (ratio of win:lose).

How to get it: Think about rolling the dice one at a time, and start with the (simpler) case where it's the first six dice that have all six numbers. The number of ways of arranging the six numbers in the first six positions is 6!. Then the seventh die can be anything, so there are 6! * 6 ways that the first 6 dice have all 6 numbers and the 7th can be anything.

Call the 7th die (the one that can be anything) the "odd die". The odd die doesn't actually have to be last - it could be rolled anywhere in the order, so it could be the 1st die, the 2nd, etc. This means we have to multiply our previous number by 7 to account for every possible position of the odd die. (we're up to 6! * 6 * 7 ways to succeed)

Finally, if you think about it, we've counted every ordering twice, since the odd die must match one of the other dice. For example: one way to succeed that the above method counts is 1 2 3 4 5 6 1 (with die #7 being the odd die). This exact same roll is also counted when we consider die #1 to be the odd die, and it matches the last die. Therefore we've counted the same roll for two different positions of the odd die. Since this happens no matter what or where the odd die is, we will have counted each successful roll exactly twice. So divide our last count by 2 to get the final answer of 15120 ways to succeed.

There are 6 ^ 7 = 279936 possible outcomes when rolling 7 dice, so the probability is 15120/279936.

What does Melkio mean?

hi my name is Melkio . Im in search for the meaning as well. so far its known to be biblical. one of the three wise men was named Melkior.

many people having this name originate from Brazil.

What is the value of the Gettyburg chess set?

Depending on the board the cost is $260 .. other than that I'm not sure where you get "value" from?

What is the value of a minute?

well, just a single minute keeps alot value for e.g within a minute we breathe more than 40 times,just in a minute 1000s of galons of water are filled,just in a single minute life-taking or life-giving decisions are taken!
aaahh............!!!!!!!!!!
JUST IN ASINGLE MINUTE......!!!! A minute is priceless if it's the last one you've got. Otherwise, it's useless judging from how most people use them.

What is ben thiking in X-Stacy?

that he will get into trouble with the police if he called for help.

What does gwendolene mean?

Gwendolin is a Welsh girl's name. It means 'White ring or bow'

Where ridge regression is used?

Ridge regression is used in linear regression to deal with multicollinearity. It reduces the MSE of the model in exchange for introducing some bias.

What 5 number combinations can you make with 1 2 3 4 5?

If repetitions of digits is not allowed, then 5! (which is 5-factorial = 5*4*3*2*1). If you assume repetition of digits is allowed, then 55.

More detail:

The math category this falls under is called combinatorix - counting the number of ways to combine things. The first answer, 5!, comes from the following reasoning:

There are 5 possibilities for the first place. Once you have chosen that places, there are four choices remaining for the next digit for each of those choices, thus giving you 5*4, and thus logic continues for the remaining digits.

For the other answer, the logic is the same, but since there is repetition allowed, each places has 5 choices.

What is the mode of 33335281345630?

3. It occurs six times, whereas 5 only occurs twice, and the rest that occur, occur once.