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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
Fair-headed is when one half of your head is nonsense and the other half is normal.
0.20 + 0.80*0.80
that would be = 1/221
= (4/52)(4/51)(3/4)
If you flip a coin 50 times and you get 28 for heads what percent is it?
56%
as 100/50=2 so you times 28 by 2 to get 56%
How can you find the probability that a randomly chosen point in a figure lies in the shaded region?
The probability is the ratio of the area of the shaded area to the area of the whole figure.
What is the probability of rolling a 4 or 6 and flipping heads twice and picking up a Jack?
These are all independent events (flipping a coin will not affect the probability of drawing a Jack) so you can get the probability of all events occurring by multiplying together the probabilities of each event occurring. In other words: P (4 or 6, 2 heads, Jack) = P(4 or 6) * P(2 Heads) * P(Jack) Now we need to look at each probability separately. Remember that: Probability = Successful Outcomes / (Successful Outcomes + Unsuccessful Outcomes) In the case of rolling a die, a successful outcome (as defined in the problem) is rolling a 4 or 6. An unsuccessful outcome is everything else (1, 2, 3, or 5). Using the formula above then: Probability (4 or 6) = 2/6 = .33 Figuring out the probability of rolling two heads is slightly different because we are talking about two flips not one. In this case we have to go back to our original formula for multiple events. Probability (2 Heads) = Prob(Head) * Prob(Head) Since we know a coin-toss has a 1/2 chance of being heads or tails: Probability (2 Heads) = .5 * .5 = .25 Finally, in the case of picking up a card from a deck, a successful outcome (as defined in the problem) is picking a Jack. There are 4 Jacks in a standard deck so there are 4 possibilities of a successful outcome. There are 48 cards in a stardard deck that are not Jacks. Therefore: Probability (Jack) = 4/52 = .077 Now we can plug these values into our combination formula to get our answer. P (4 or 6, 2 heads, Jack) = P(4 or 6) * P(2 Heads) * P(Jack) P (4 or 6, 2 heads, Jack) = .33 * .25 * .077 = .00635 There is a .635% chance of rolling a 4 or 6, flipping a heads twice, AND drawing a Jack.
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What is the probability that if you roll the dice you'll get the number 100?
That depends on what kind of dice you are rolling and how many of them you roll. If you roll two 6-sided dice once, the probability of getting the number 100 is exactly zero. You cannot get a 100 on one roll of two 6-sided dice. Other dice and different numbers of them may yield different probabilities.
What are the chances of being shot as a cop?
The first answer wasn't valid at all.
The first answer 5 out of 3 doesn't make sense. It would depend a lot on where you were enforcing the law as well as what type of law enforcement you do. Someone in Tokyo would have almost no chance, while someone in Bahgdad would be almost certain to have a gunfight at soome point. In the US it is uncommon for the average policeman to ever fire his weapon in the line of duty, except at the range.
Since the numbers (number of dots) on normal dice only go from 1 - 6, then I would think the probability of getting the number 100 is zero.
There are 6 different doubles that can be rolled. (They are 1 and 1, 2 and 2, etc.) You have a 6/36 chance of rolling doubles. The fraction 6/36 simplifies (reduces) to 1/6. Your 1 in 6 chance of rolling doubles now needs to be converted to probability. Probability speaks to the "chance" that something will occur. It is expressed as a "pure" number, and the range of probability is from 0 to 1. The probability 0 means that it cannot occur, and the probability 1 means that it will or must occur. Everything else falls in between. If you have a 1 in 6 chance of rolling doubles that translates into a 1 divided by 6 probability, or a 0.1666666... probability that a double will come up.
What is the probability of getting the ace of spades?
Usually 1/52, Unless Jokers are included in whatever game, then it would be 1/54. This is of Course subjectively requiring that you have only one full deck of playing cards, and only one Ace of Spades
When did the study of probability begin?
A gamblers dispute in 1654 led to the creation of a mathematical theory of probability by two famous French mathematicians, Blaise Pascal and Pierre de Fermat. Antoine Gombaud, Chevalier de Méré, a French nobleman who was interested in gaming and gambling questions, called Pascal's attention to an apparent contradiction concerning a popular dice game. The game consisted in tossing a pair of dice 24 times; the problem was to decide whether or not to bet even money on the occurrence of at least one "double six" during the 24 throws. A seemingly well established gambling rule led de Méré to believe that betting a double six in 24 tosses would be profitable, but when he did his own calculations they indicated the opposite.
This and some other problems posed by de Méré led to an exchange of letters between Pascal and Fermat in which the fundamental principles of probability theory were formulated for the first time. Although a few special problems on games of chance had been solved by some Italian mathematicians in the 15th and 16th centuries, no general theory was developed before this famous correspondence.
The Dutch scientist Christian Huygens learned of this correspondence and in 1657 published the first book on probability: titled De Ratiociniis in Ludo Aleae, it was a treatise on problems associated with gambling. Because of the inherent appeal of games of chance, the theory soon became popular and the subject developed rapidly during the 18th century. The people who mainly contributed during this period were Jakob Bernoulli and Abraham de Moivre.
In 1812 Pierre de Laplace introduced a host of new ideas and mathematical techniques in his book, Théorie Analytique des Probabilités. Before Laplace, probability theory was only concerned with developing a mathematical analysis of games of chance. Laplace applied probabilistic ideas to many scientific and practical problems. The theory of errors, actuarial mathematics, and statistical mechanics are examples of some of the important applications of probability theory developed in the 19th century.
Like so many other branches of mathematics, the development of probability theory has been stimulated by the variety of its applications. Conversely, each advance in the theory has enlarged the scope of its influence. Mathematical statistics is one is one important branch of applied probability; other applications occur in such widely different fields as genetics, psychology, economics and engineering. Many workers have contributed to the theory since Laplace's time: among the most important are Chebyshev, Markov, von Mises and Kolomogorov.
One of the difficulties in developing a mathematical theory of probability has been to arrive at a definition of probability that is precise enough for use in mathematics, yet comprehensive enough to be applicable to a wide range of phenomena. The search for a widely acceptable definition took nearly three centuries and was marked by a lot of controversy. The matter was finally resolved in the 20th century by treating probability theory on an axiomatic basis. In 1933 a monograph by a Russian mathematician A. Kolmogorov outlined an axiomatic approach that forms the basis for the modern theory. Since the ideas have been refined somewhat and probability theory is now part of a more general discipline known as measure theory.
What are the chances of your son going into the NFL?
lets say you have a better chance of winning the lottery you have a better chance of getting hit by lightning then winning the lottery
1/52 Which as a decimal is 0.01923076923076923076923076923 Which as a percent it is
1.923076923076923076923076923% (: Well, probably not exactly what you wanted but here some math. Oh and that number is real I did it on a calculator! Check it!
What is the probability of rolling a number less than 3 with one roll of a number cube?
There are two numbers less that three and 6 possible outcomes, so 2/3 or the time you would have a number less than three. So probability is 2/3 or 66% Alternate explanation: 2 to 1 against. A six sided die has two numbers less than three and four numbers three or more, so the odds of less than three are 2 in six, or 1 in three.
Three fair coins are tossed- whats the probability of tossing at least one head?
The chance for each toss is 1/2. The chance of all three flips being tails is 1/2 * 1/2 * 1/2 = 1/8. So the probability of at least one head is 7/8.
What is the probability of getting 2 heads in 2 coin tosses?
This can be calculated easily by multiplying the chances of getting one head in one toss for a fair coin (half) by itself(half) to give a quarter (1/4 or 1 in 4). If you wanted the chances of at least one head in 2 tosses, then the chances would be for anyhting exept 2 tails in a row, which is 1 - 0.25(quarter), which is 0.75 (3/4 or 3 quarters or 3 in 4)
