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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

If you roll two die what is the probability that one die will roll a one and the second die will roll a two?

Assuming you are talking about fair, six-sided dice, then the probability of rolling a 1 on the first roll in 1/6, and the probability of rolling a 2 on the second roll is 1/6. Putting these together, the probability of rolling 1 on the first die and 2 on the second die is 1/36. If you do not care about the order, then you could roll 1,2 or 2,1; in this case the probability would be 2/36, or 1/18.

Can the probability of an outcome be zero?

Yes. But there are at times philosophical problems at stating that the probability of an outcome that either has never been observed is zero. As a supposition or assumption, we can say that a particular outcome is zero, but how do we prove it? For example, I might believe that it is physically impossible for a person to weigh more than 1,000 lbs as no human on earth weighs that much, but if just one person weighs more than a 1,000 lbs, I have to accept that this outcome has a finite probability. We can come to the conclusion of impossibility by our cumulative knowledge. For example, it is impossible for a person to run 200 mph. World athelete's running speeds are very close, far below 200 mph. I can't prove it rigorously, but it is a rational conclusion based on our knowledge. To most people, if something has a chance of success of one in a billion or one in a trillion, this is close enough to impossible. However, even with these low probabilities, the result is still not impossible. For example, most people would think that winning the lotto 10 times in a row would be impossible, but the probability is above zero, therefor possible.

If you draw a card from a standard deck of cards what is the probability of drawing a heart or a face card?

13 hearts in a standard deck = 13/52

12 face cards in the deck = 12/52

3 face cards which are ALSO hearts = 3/52

SO:

13/52 + 12/52 - 3/52 = 22/52, reduced to 11/26

The last answer given, 25,52 was incorrect.

How many children is it possible to have at once?

A major problem with multiple births is the survival of the children. In October 2009, the Suleman octuplets (8 children) were born in California and they were still doing well at the age of 5.

Probability of tossing a coin 8 times?

One hundred percent it you toss the coin eight times.

When rolling a cube what is the probability of rolling a number greater than 6?

It depends on how the six sides are numbered. In a standard die, it is zero percent.

What does and mean in probability?

It means multiply, Probaility of A and B means probability of A multiplied by probability of B.

How many face cards are in a deck?

12, plus 2 jokers.

There are 54 cards in all, 52 in the regular deck plus the 2 jokers.

Why was the venn diagram invented?

So that you could visualize the various permutations in boolean algebra.

An Urn contains 5 white and 7 black balls five balls drawn at randoma Find the distribution function of the probability distribution of no of white balls?

with replacement: binominal distribution f(k;n,p) = f(0;5,5/12) without replacement: hypergeometric distribution f(k;N,m,n) = f(0;12,5,5)

Frequency approach for probability?

Well, that's not much of a question. Perhaps you are asking: What is the frequency interpretation of probability? This is called the classical interpretation of probability. Given n independent and identical trials with m occurrences of of a particular outcome, then the probability of this outcome, is equal to the limit of m/n as n goes to infinity. If you are asking: How can probabilities be estimated given data, based on frequency approach? A table is constructed, with intervals, and the number of events in each interval is calculated. The number of events divided by the total number of data is the relative frequency and an estimate of probability for the particular interval.

What is the probability of having twins if your dad is a fraternal twin and you are a identical twin and your moms dad is a fraternal twin?

The probability is the same as if you had no history of twins in your family. There is no genetic component with identical twins, it is just something that happens. Fraternal twins occur if a mother "drops" two eggs in one month. Your father being a fraternal twin does not make you "drop" more than one egg in a month and so does not increase your chances of having twins. Your maternal grandfather being a fraternal twin did not effect your mother's ability to drop more than one egg and so did not effect your ability to "drop" more than one egg and so does not increase your ability to have twins.