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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 are combination locks so called when they are in fact permutation locks?

They are called combination locks because that is the general, conventional term used. Trying to call them permutation locks is mixing different areas of usage together and that is not valid.

Is Statistically independent random variables are uncorrelated and vice versa?

the statistically independent random variables are uncorrelated but the converse is not true ,i want a counter example,

What are the 13 cards in each suit in a deck of 52 playing cards?

The 13 cards in each suit in a deck of 52 playing cards are: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen & King.

A coin is tossed 5 times find the probability that the 6th toss is a tail given tht the first 5 tosses were all tails?

The chance is 50%-50% that it will be heads or tails; this does not change regardless of the number of previous tosses and their results.

What events happen in bartolomeo Cristorfori childhood?

Apart from the fact that he was born on 4 May 1655, almost nothing is known about his early life, let alone his childhood.

Jobs that use probability?

Jobs that use probability include:

Statisticians

Mathematicians

Actuaries

Financial Modellers and Risk Managers

Economists

Gaming Designers

---------------------------------------------------------------------------------------------------------------------------------------------Sports Casters (they give a probably of the scores in a game)

Is normal distribution also a probability distribution?

Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.

Can a pair of cats produce 80 million offspring in 10 years?

At least the numbers work out that way assuming they keep having kittens and none of them die, etc. If each litter has 2.8 surviving offspring and each female cat has two litters per year. (Cat litters average about five and they can have a litter every three months so these numbers could be substantially higher.)

Year 1: (two cats litter at time zero, time six months and 12 months): 12 offspring

Year 2: 1/2 of all cats in Year 1 had 2.8 kittens at 18 and 24 months): 54

Year 3: 316

Year 4: 1819

Year 5: 10,479

Year 6: 60,360

Year 7: 347,674

Year 8: 2,002,600

Year 9: 11,534,979

Year 10:66,441,480

Total: 80,399,772

If you assume each litter has 4 kittens, the number is 6.9 billion. Even if each litter is two kittens, the total is still around two million. This is a pretty compelling case for fixing your cats.

When three dice are rolled what is the probability of getting a sum of 15?

There are 216 permutations of three standard dice. Of these, there are exactly 10 that sum to 15, namely 3-3-6, 4-5-6, 4-6-5, 5-4-6, 5-5-5, 5-6-4, 6-3-6, 6-4-5, 6-5-4, and 6-6-3. The probability, then, of rolling a sum of 15 with three standard dice is 10 in 216, or 5 in 108, or about 0.04630.

What are the chances of a royal flush on the flop and the turn in Texas hold 'em?

There are 2,598,960 possible five-card hands. There are 4 combinations of royal flushes in 5 cards. Therefore, the odds are 649,739:1.

There are 20,358,520 possible six-card hands. There are 188 combos of royal flushes in 6 cards. Therefore, the odds are 108,290:1.