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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 when you roll a dice you will get a higher number than the number you got the last you rolled the dice?

5/12

Consider the possibile outcome of two rolls of a die (where order matters):

(1,1)

(1,2)

(1,3)

.

.

.

(4,6)

(5,6)

(6,6)

There are 6*6=36 possible outcomes. Of these, the following would achieve the result desired:

(1,2)

(1,3)

(1,4)

(1,5)

(1,6)

(2,3)

(2,4)

(2,5)

(2,6)

.

.

.

(5,6)

For the first die equal to 1, there are 5 successful results. For the first die equal to 2, there are 4 successful results....For the first die equal to 5, there is 1 successful result. The total number of successful outcomes=5+4+3+2+1.

So the probability that the desired outcome is obtained=(5+4+3+2+1)/36=15/36=5/12.

A standard dice is rolled 10 times withthe out come 2 1 3 2 5 1 0 in this order you can you make it where it is less or equal to 8?

The lowest number I can roll on a die is 1.

In ten rolls, that's a minimum of ten; I cannot make it 8 or less.

Zero is a foul throw.

Why would someone want to assume that your sample data represents a population distrubution?

Most people take samples so that they may make estimates of parameters of interest: mean, variance, etc for the whole population. For such an estimate to have any validity the sample data must be assumed to represent a population distribution. Otherwise any conclusions based on the sample are valid only for the sample: hardly worth the effort!

What is the probability that a card is both a club and queen?

One in 52 - because there are 52 cars in a deck, and only one Queen of Clubs.

Can -49 be a probability?

No it can not; probability must be between 0 and 1, inclusive.

How many ways can arranged 21 people?

In a straight line, 21! = 51,090,942,171,709,400,000 or approximately 51 quintillion.