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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 mathematics is important to everyday life?

because u use maths everyday. you look at the clock and read the time, that is maths. u buy sumthing from the shop and u use money. that is maths. and you go to school or work, there is bound to be sum sort of maths in there.

Range of values for proportion and probability?

A proportion is usually between 0 and 1. A probability is always between 0 and 1, inclusive; 0 being impossible and 1 being certain.

What are the odds of winning the lottery every Saturday and Wednesday for a year?

The chance of winning either the Saturday or the Wednesday national lottery in Britain is just over 14 million to 1.

To win on Saturday and Wednesday is 14 million x 14 million = 196 Million Million (a million million is 12 zeros which is a billion everywhere outside of the United States. which is a Trillion).

But we're in Britain - so the chances of winning Saturday and Wednesday would be 196 Billion to 1. This is just one week....

The chances of winning both Wednesday and Saturday for a whole year are astronomical. 196 billion multiplied by itself 52 times....

That number is:

1.57512749 × 10743

To put this in persepctive, this means - that if the age of the universe is approximately 14 billion years old - even if you played the lottery every Wednesday and Saturday for the entire life of the universe. You still got a less than 1-10 chance of pulling it off in ONE week let alone 52. (Assuming you buy one ticket).

The best thing to do is buy every ticket and you're guaranteed to win the prize and freak your friends out with your spooky powers... ;-)

What are the different non-probability sampling techniques?

The related web sites give a good idea of the types of non-random sampling. These include snowball, convenience, quota, self-selection, diversity, expert, and others. Non-randon sampling is usually done because it is less expensive, easier, and quicker than random sampling.

What is the definition of central limit theorem?

The central limit theorem basically states that as the sample size gets large enough, the sampling distribution becomes more normal regardless of the population distribution.

Additive rule in probability example problems with solution?

The formal addition rule is P(A or B) = P(A) + P(B) - P(A and B). A good example from the related link, from the addition rule section is: ; Suppose we wish to find the probability of drawing either a king or a spade in a single draw from a pack of 52 playing cards. ; We define the events A = 'draw a king' and B = 'draw a spade'. ; Since there are 4 kings in the pack and 13 spades, but 1 card is both a king and a spade, we have (same formula as above in symbols): : = 4/52 + 13/52 - 1/52 = 16/52 ; So, the probability of drawing either a king or a spade is 16/52 (= 4/13).

If a coin is tossed 3 times what is the probability of getting 2 and only 2 heads?

This is a problem concerning binomial probability distribution.

If you have three coins, each one can land heads or tails. (We will ignore the remote chance that a coin will land on its edge.) Each coin has an equal probability of landing heads or tails. In other words, each coin has two possible states. Since there are three coins, there are 2 x 3 = 6 possible states. We can easily see what they are with a table:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Three of those possible eight states contain two and only two heads. So the probability of throwing any of those three states is three in eight, or 3/8 = 0.375.

When a fair die is thrown what is the probability of getting the number 3?

A die normally has 6 sides numbered 1 through 6. The probability of you landing on ANY number is 1:6, or you have a 1 in 6 chance of landing a 3.

How many people have the same birthday as you?

If there are 300,000,000 people in the US, then on average you share your birthday with over 82,000 people. Of course, if your birthday is 2/29, you would share it with about 1/4th of that number.

What is experimental and theoretical probability?

They are just used to make equations and make more things like more equations and estimates!
Theoretical Probability: P(event) the ratio of the number of favorable outcomes to the number of possible outcomes, written as a ratio.

example: number of favorable outcomes over number of possible outcomes

Amelynn is hungry, so she gets out a bowl and puts in 2 red jelly beans, 3 blue jelly beans, 12 pink jelly beans, and 3 yellow jelly beans. Amelynn likes the pink ones the best. What is the theoretical possibility of her getting a pink jelly bean?

Answer: 12 over 20. (or 3 over 5 [simplest form])

Explanation: Amelynn put 20 jelly beans in the bowl. She wants the pink ones, and

there are 12 pink jelly beans, which are the favorable outcomes. There are 20 jelly beans, and these are the possible outcomes. This means that it is 12 over 20. You might have to put this in simplest form as well. also this is 60% total.

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Experimental Probability: The number of times the outcome occurs compared to the total number of trials.

example: number of favorable outcomes over total number of trials.

Amelynn is flipping a coin. She finished the task one time, then did it again. Here are her results: heads: three times and tails: seven times. What is the experimental probability of the coin landing on heads?

Answer: 3/10

Explanation: Amelynn flipped the coin a total of 10 times, getting heads 3 times. Therefore, the answer is: 3/10 or 30%
Theoretical probability ... a coin has 2 sides so the theoretical probability of flipping a coin and getting heads is 1/2.

Experimental probability... flip a coin 10 time and you get 7 heads so the experimental probability of getting heads is 7/10

What are the chances of being robbed?

According to Department of Justice statistics, the odds of being a victim of a completed or attempted robbery in a year in the US are 1 in 419.1.

What is the probability that a particular allele will be in a gamete?

  • chromosome segregation
  • If the character is governed by a single allele and it is dominant, than its probability to be in the gamete is 75%.

How many cards are in an ordinary deck of playing cards?

There are 52 cards in a normal deck of playing cards, not counting the Jokers and advertisements.

Who created algbra?

Historical revisionism and political correctness continue to gain space in the “Mailbag” section. The latest is the claim by Richard Bennett (Oct. 20) criticizing the Rev. Bryan Griem about yoga. Bennett claims “algebra … was invented by a Muslim.” This is utter nonsense.

A Muslim? Who? Well, several pro-Islamist websites claim he was Abu Ja’far Muhammad ibn Musa, described by them as the father of algebra. But there’s a slight problem: Abu Ja’far was a newcomer. He lived from 780 to 850 AD. The origins of algebra precede his birth by 2,500 years — in ancient Babylonia, Egypt, and Athens.

The earliest known origins are the Rhind mathematical papyrus, written by the scribe Ahmes (or Ahmose) in Egypt around 1650 BC. Other authorities credit the Athenian Diophantus as the father of algebra, based on his series of books, “Arithmetica,” whose texts deal with solving algebraic equations. Diophantus lived and wrote 900 years before the founding of Islam in 610 AD — and 1,100 years before Abu Ja’far.

Indeed, the English word “algebra” comes from the Arabic word al-jabru. But al-jabru is not Arabic for invention or discovery — it means restoration or reunion. This clearly indicates acknowledgment of previous science, invention and use of algebra by others — not Muslims.

Do you say one and other or one another?

‘One another’ is Ok, as in ‘they can’t stand one another’.

How does probability apply to heredity?

Probability applies to heredity with the inheritance of certain genes and alleles that together make up heredity.

The question has to do with probability in that each parent cell can contribute one half of its genes. Because it splits through meiosis a parent cell can have one of two parts. The other parent cell has the same possibility of splits.

Therefore, one half times one half is one fourth. That is the probability of each gene being passed on.

What does the name Beowulf probably mean?

Bee-wolf... or bear (bears eat honey, they hunt bees).

You want probability and statistics online bits?

Find the number of students at a college taking at least one of the languages French, German and Russian from the following data: 65 study French, 20 study French and German, 45 study German, 25 study French and Russian, 42 study Russian, 15 study German and Russian while 8 study all three languages.

What is the definition on the balance of probabilities in law?

Balance of probabilities means comparison between the likelihood of truthfulness of different versions of a story. Also

Burden of Proof, means: preponderance of evidence....... and both phrases have the same meaning

الإلتزام بإثبات الإدعاءات....أو رجحان الأدلة

Cash Reiepts from customers are greater than sales revenues when what happens?

That means that there were larger purchases on credit for that period, there would be a corresponding increase in assets or expenses. Or, it could mean that oustanding payables from the previous period were not paid and are now overdue. It also means that the company has increased cash flow requirements for the following period.

Explain 3 major events that occur in duodenum?

From Seely - Anatomy & Physiology 6th Edition:

The hepatic ducts from the liver lobes

combine to form the common hepatic

duct. The common hepatic duct combines

with the cystic duct from the gallbladder

to form the common bile duct. (Bile contains no digestive enzymes, but it plays

a role in digestion because it neutralizes and dilutes stomach acid

and emulsifies fats. The pH of chyme as it leaves the stomach is too

low for the normal function of pancreatic enzymes. Bile helps to

neutralize the acidic chyme and to bring the pH up to a level at

which pancreatic enzymes can function.)

The common bile duct and the

pancreatic duct combine to form the

hepatopancreatic ampulla. The hepatopancreatic ampulla empties

into the duodenum at the major

duodenal papilla. Pancreatic secretions also enter the

duodenum through the

hepatopancreatic ampulla. The

accessory pancreatic duct also empties

into the duodenum.

What are the roles of operational research and business decision making?

Operational research allows business leaders to have more technical knowledge. With more research about operations, managers can choose the best alternatives presented to them. The key thing in this equation is that good operational research helps better business decisions. Often times the business decision often opted for is to spend more money on research.

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