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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 a 2001 penny that has tails on both sides but has been stamped on one side with a heads also?

You might have a flip-over double-strike which would bring several dollars from an error collector, but you should be able to see at least a trace of heads and tails on both sides. If the tails image that is on the heads side is reversed, it is possible that someone laid another coin on top of yours and hit it with a hammer. If that's what happened you just have a damaged coin. Someone familiar with minting errors would have to examine it to be sure.

If you roll a 1-5 number cube what is the probability you will get a 5?

Probability = number_of_ways_of_success / total_number_if_outcomes

As a cube has 6 faces and you have only specified that it has five numbers (1-5), one of those numbers must be repeated, thus the probability of rolling a 5 depends upon whether there is one or two sides bearing a 5:

If there is only 1 side bearing a 5, then it is 1/6

If there are 2 sides bearing a 5, then it is 2/6 = 1/3

If you meant a five sided solid, then there is no such regular solid and some face(s) would be biased to appear and it would depend upon which face has the 5.

However, an icosahedron has 20 faces and the numbers 1-5 could be repeated 4 times each, meaning that the probability of rolling a 5 would be 4/20 = 1/5.

If you had a regular pentagonal spinner, with each digit corresponding to an edge, then the probability of spinning a 5 would be 1/5.

If you mean a standard die: a cube with six sides numbers 1-6 (and the 1-5 was a typographical error), then the probability is 1/6.

What is the p-value if 0.01 is the level of significance and the mean is 18688 and the standard deviation is 15500?

In order to solve this you need the null hypothesis value

also level of significance only helps you decide whether or not to reject the null hypothesis, is the p-value is above this then you do not reject the null hypothesis, if it is below you reject the null hypothesis

Level of significance has nothing to do with the math

How many ways the letters of Hawaii can be written?

The number of permuations of the word "hawaii" are 6! /2! = 720/2 = 360. You divide by 2! because the letter "i" occurs twice.

How likely am i to have twins if my mothers father is a twin?

Well since you have half of your mother's genes, and half of your father's genes' I'd say about 50/50

What is the probability of rolling 2 dice whose sum is at most 4?

4 different ways.

here is a chart.

2= 1,1

3=2,1 or 1,2,repeated

4=2,2 1,3(one repeat-3,1)

hope is helpful.

How is mythology used in your society today?

I suggest you get any book by Joseph Campbell, particularly "THe Power of Myth."

When rolling two dice what is the probability of rolling a one?

The answer depends on what "rolling a one" refers to.

  • rolling a sum of one,
  • rolling a difference of one,
  • rolling a product of one,
  • rolling a one on one die only,
  • rolling a one on one or both dice.
Unfortunately these probabilities are different and the question is ambiguous.

What is the probability of beind dealt five aces from a standard 52 card deck?

Since there are only four aces in a standard 52 card deck, the probability of being dealt five aces is zero.

What is the probability that you will pick two aces in a row out of a 52 card deck?

The probability of drawing two Aces from a standard 52 card deck is (4 in 52) times (3 in 51) or (12 in 52851) or (4 in 17617) or about 0.0002271.

When calculating the probability of a single trial experiment with a compound event why is it necessary to subtract?

Well, honey, when dealing with compound events, you gotta subtract the probability of the event not happening from 1 to get the probability of it happening. It's like making sure you cover all your bases - can't have any sneaky probabilities slipping through the cracks. So, subtracting is just a fancy way of making sure you've accounted for all the possibilities.

How many arrangements can be made with the letters spineless?

The word "spineless" has 9 letters, including 3 s's and 2 e's, so the number of distinct permutations of the letters is:

9!/(3!2!) = 30,240

What is the probability of picking a jack and then a queen from a deck of cards?

The answer depends on whether or not the first card is replaced before drawing the second.

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