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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 getting a number greater than or equal to 2 when rolling a number cube numbered 1 to 6?

Probability is a ratio written as the number of desired outcomes divided by the number of possible outcomes.

On a six-sided number cube, there are 5 chances of getting a number greater than or equal to 2 (2,3,4,5,6) and 6 possible outcomes (1,2,3,4,5,6) so your probability would be 5/6.

Will LIBOR rates go up or down in the next 6 months?

AnswerIts less likely that LIBOR rate will go down in near future. increase in retail sales to .6% from expected .3% as well as inflation indications makes a change in LIBOR rates less likely

LIBOR, the London Interbank Offered Rate is a basis against which reference banks quote a cost of funds from overnight to one year in 10 currencies.

http://en.wikipedia.org/wiki/London_Interbank_Offered_Rate

What events happen in may?

The trees start to blossom with a light pink flower.

How many different hands of poker can you make with 7 cards?

There are 20 unique 5-card hands.

Solution:

First break apart the player card combinations.

You can either use player card 1, player card 2, or both player cards 1 and 2 with the hand. Therefore, you are taking 5 cards, 3 at a time, when playing with both player cards, and 5 cards, 4 at a time, when playing with 1 player card.

Mathematically, this can be expressed using the Binomial coefficient

2 x ( 5 choose 4 ) + ( 5 choose 3 ) = Number of possible 5-card hands.

5 choose 4 = 5 : This represents the combinations between 1 player card and 5 table cards, 4 at a time. (http://www.wolframalpha.com/input/?i=5+choose+4)

5 choose 3 = 10 : This represents the combinations between 2 player cards, and 5 table cards, 3 at a time. (http://www.wolframalpha.com/input/?i=5+choose+3)

Thus, 2 x ( 5 ) + ( 10 ) = 20 .

Further Information:

All possible hand combinations are listed below.

A and B are the two player cards.

0 through 5 are the five table cards.

-----

A 1 2 3 4

A 2 3 4 5

A 3 4 5 1

A 4 5 1 2

A 5 1 2 3

B 1 2 3 4

B 2 3 4 5

B 3 4 5 1

B 4 5 1 2

B 5 1 2 3

A B 2 3 4

A B 3 4 5

A B 1 2 3

A B 4 5 1

A B 5 1 2

A B 4 5 2

A B 4 1 2

A B 5 1 3

A B 5 2 3

A B 1 3 5

What are the chances of a normal person and a carrier for cystic fibrosis have a kid with cystic fibrosis?

Zero. Cystic fibrosis is an autosomal recessive disease. This means that both parents must carry a mutated gene and have a 1 in 4 (25%) chance of having a child with CF.

What are facts about the number 52?

There are 52 cards in a deck and 52 weeks in a year. Some people also think there are 52 states in USA but that isn't true.

Difference between conditional probability and Bayes theorem?

may b d reason is dat - in conditional prob. occurence of one of d 2 events is known 2 us . on other hand prob of d each event is given 2 us in baye's theorem.

Moment generating and the cumulant generating function of poisson distribution?

The moment generating function is

M(t) = Expected value of e^(xt)

= SUM[e^(xt)f(x)]

and for the Poisson distribution with mean a

inf

= SUM[e^(xt).a^x.e^(-a)/x!]

x=0

inf

= e^(-a).SUM[(ae^t)^x/x!]

x=0

= e^(-a).e^(ae^t)

= e^[a(e^t -1)]

What is an unbiased coin in probability?

An 'unbaised coin' is a coin which has an equal probablity of landing on either heads or tails when tossed.

How do you find the probability of winning a board game?

Board games are a combination of:

* Skill

* Luck

If a game was 100% luck, for example Snakes and Ladders, your chance of winning is 1 in the number of players.

If the game was 100% skill, it would depend on your skill in the game. For example if you were hopeless at Chess, your chance of winning could be 0.

Many board games, including scrabble & monopoly have a combination of skill and luck and thus the chance of winning will depend on your skill with an adjustment depending on the affect of the luck factor.

Have there been identical twins where one has anorexia and the other doesn't?

I have been battling against the disorder with ups and downs for the past 5 years and my identical twin has watched me all this time with frustration, anger and fright. She has always been a healthy weight despite her stages of depression due to my disorder. However currently she has dropped a lot of weight. Friends tell me she is bingeing at night time. I notice at meal times now that she eats VERY little and she has a very vigorous exercise regime; she runs for 40 minutes, goes on the cross-trainer for 30 minutes and then finishes with about half an hour of stomach exercises...DAILY! She is perhaps mirroring what i was doing in front of her. However i am more concerned as at 12 years of age i did not have access to gyms, weights and i was still served food. The danger at 17 is that now she can go to the gym whenever she wants, she has the right to eat what she wants.

To answer your question, I think twins take things in turns... situations normally occur one after the other. It does sound bizarre but I am 90% certain that this is true. Although we are different people I think we both rely on maternal care. I perhaps lacked that as an adolescent but in the past five years our mother's focus has been concentrated on finding care for me...Katharine has therefore felt alone and lost. I think this is another reason why the anorexia has developed in her... it is after all based around attention.

What is it called when you have in poker when you have a 5 of spades 6 of spades and 7 of spades in one hand?

In a game of poker, holding a 567 spade would often be refered to a runner runner straight ( both open and gut shot) or runner runner flush draw sometimes refered to as a backdoor flush. Presumably you are basing this on Two hole cards and the 3 cards that compose a flop, for instance if the turn card fails to bring 34 89 or or any spade 12+9 (21) then you have no chance at completing your hand on the river. 21/47 means that 42% of the time you will have a chance of hitting your straight or flush. If we assume you hit a favourably card i.e 8 spades you now have an open ended flush draw, and 4 9 or spade gives you a good hand (6+9=15), this means that just under 1/3rd of the time given favourable conditions on the turn you will make you hand.

However a word of warning if we carry out an All in situation the % of both hitting your out on the turn and river are dramatically reduced. i.e assuming only a flush draw 9/47 =18%/ 3x 2 = 12% Overall odds of completing your flush , this would infer a pot odd of 1-8.5 would be required to make calling sensible, this would assume that 8 random hand pairing have gone all in before you and you none of them are draw to a higher flush ect, This is not a hand you wish to be betting most of the time.

What is the probability of fliping a quarter twice?

In my case, close to 0, since I do not live in a country that has quarters. In countries that do have a coin that is called a quarter, the answer depends on the desire of people to flip coins.