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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 a systematic way to find all possible outcomes?

The answer is not easy: it depends on the situation that you are studying. It is simple to identify all the possible outcomes of rolling a die and tossing a coin: it is the set of ordered pairs defined as the set

{(n, a), where n is an integer from 1 to 6 and a is H or T}.

In general, it is not at all simple to determine all possible outcomes. There may be outcomes that you did not expect or and make allowance for. In practise, therefore, it is sometimes best to have a category for "other outcomes".

In principal, a tossed coin could end up on its edge, or at least, end up leaning against some obstruction so that it is not flat on H or T.

A claim's initial plausibility is assessed by what?

It is generally reasonable to accept the claim if it does not conflict with our store of background information and if it comes from a reliable source.

A claim's initial plausibility is a measure of how well it "squares" with our background information and our own observations.

Julie rolls two dice at the same time What is the probability that the first die lands on a 5 and the second die is also a 5?

The chance of rolling a specific number on a six-sided die is 1/6. The same 1/6 chance applies to the second die.

Multiply them together to find the chance of both events occurring: 1/6 x 1/6 = 1/36, or about 2.78%

What are the formulas in probability?

There are many, many formulae:

for different probability distribution functions,

for cumulative distribution functions,

for moment generating functions,

for means, variances, skewness, kurtosis and higher moments.

There are many, many formulae:

for different probability distribution functions,

for cumulative distribution functions,

for moment generating functions,

for means, variances, skewness, kurtosis and higher moments.

There are many, many formulae:

for different probability distribution functions,

for cumulative distribution functions,

for moment generating functions,

for means, variances, skewness, kurtosis and higher moments.

There are many, many formulae:

for different probability distribution functions,

for cumulative distribution functions,

for moment generating functions,

for means, variances, skewness, kurtosis and higher moments.

How long can you be trainee for?

Technically indefinitely, only once your superior is satisfied with your progress would no longer be considered a trainee.

Give 5 solving problems about partitive proportions?

tanong mo nalang sa guro mong tanga! bakit hindi mo alam? hindi ka ba tinuturuan ng guro mo? oh sadya lang bobo yung guro mo?

How do you solve a mean squared deviation?

You cannot "solve" a mean squared deviation". You can calculate it or use it, but there is nothing to solve!

Toss a coin-randomly select a number from 0 to 9 What is the probability of getting tails and selecting a 0?

The result of tossing the coin would not affect which number was selected. So we say that these two events are independent. We can therefore assess the probability of each of them separately and then multiply the two probabilities together for a final result.

Probability of getting tails: 1/2 (since there is one way of getting heads out of two possibilities)

Probability of getting zero: 1/10 (since there is one way of getting zero out of ten possibilities)

Overall probability: 1/2 x 1/20 = 1/20

Where do catastrophic events occur?

Everywhere in the world, solar system, galaxy, and universe.

What is the probability of rolling more than 8 with one roll of the dice?

The probability of rolling a nine or higher with one pair of dice is 10 in 36, or 5 in 18, or about 0.2778.

Out of the 36 possible permutations, the 10 that match the criteria are (6-3) (5-4) (4-5) (3-6) (6-4) (5-5) (4-6) (6-5) (5-6) (6-6).

A probability based upon an event that has already occurred?

May - or may not - be a conditional probability. A conditional probability is not becessarily chronologically structured.

How man black 10 in a deck of cards?

Two - the 10 of Spades, and the 10 of Clubs.

What is the probabilty of drawing a red ten from a deck of 52 cards?

The probability of drawing a red 10 from a standard deck of 52 cards is 2 in 52, or about 0.03846.

The Ten of Diamonds and the Ten of Hearts.

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