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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

Definition of theoretical probability?

The term "theoretical probability" is used in contrast to the term "experimental probability" to describe what the result of some trial or event should be based on math, versus what it actually is, based on running a simulation or actually performing the task. For example, the theoretical probability that a single standard coin flip results in heads is 1/2. The experimental probability in a single flip would be 1 if it returned heads, or 0 if it returned tails, since the experimental probability only counts what actually happened.

Is zero a natural number?

No because it isn't one of the normal counting numbers.

If two fair dice are rolled what is the probability that the total number of spots shown is equal to 5?

Each of the dice has 6 sides.

There are 6 x 6 = 36 possible combinations.

Of those, the following equal 5:

1 and 4

2 and 3

3 and 2

4 and 1

So the odds of rolling a 5 is

4 chances out of 36

4 / 36 = 1 / 9 That converts to a probability of 0.1111111...

Why use standard deviation in psychology?

Measurements of the variable of interest will differ between subjects. As a result the outcome of an experiment may be different from what was expected. The psychologist will want to know whether that difference is purely the result of random variation between subjects or if it is due to some other factor. The standard deviation is a measure for determining how large a difference might be purely random.

A single card is drawn from a deck of cards what is the probability of the card being a seven or a heart?

Fraction: 4/13

Percentage: About 30%

Steps:

1. Find out the denominator.

There are 52 cards in a standard deck, so the denominator is 52.

2. Find out how many hearts and 7's there are in a deck. (this is the numerator)

There are 13 hearts, and four 7's in a deck. Since one of the card's is the heart of 7, it's been counted twice, so there are 16 cards that are heart's and 7's.

3. Reduce the fraction

It can be reduced to 4/13

4. Turn it into a percentage, if you need to.

Do 4/13, multiply it by 100, and then write it with the "%" sign.

When a coin is tossed 10 times in a row what is the probability that heads comes up at least 8 times?

The Binomial distribution has the probability function P(x=r)= nCr p^r (1-p)^(n-r) r=0,1,2,.....,n where nCr = n! / r! (n-r)! n=number of tosses =10 p=probability of a head in a single toss=1/2 r=8,9,10 We have to compute each probability and add them all up. P(r=8) = 10C8 (1/2)^8 (1/2)^2 P(r=9) = 10C9 (1/2)^9 (1/2) P(r=10) = 10C10 (1/2)^10 http://www.pindling.org/Math/Statistics/Textbook/Functions/Binomial/binomial_2_8.htm The above link computes each probability. =0.0439+0.0098+0.0010 = 0.0547 is the required probability. One may also use a calculator to compute these expressions.

How do you get a Probability using two spinners?

i think the probability of getting a vowl of th spinner is:1,2,3,4

If You guesses on a multiple choice question and there were 4 choices for the problem what is the percent of probability you will guess wrong?

If there are 4 choices and you randomly choose one, you have a 25% chance that it will be correct, with 75% that it will be wrong. However, if there is one answer that you know is not correct, you can eliminate that one. Then if you choose from the remaining three, you will have increased your chances of getting it right to 33%. That doesn't sound like a whole lot, but it really would help you.

If there are 45 students in a biology class and 23 are girls what is the probability that a student chosen at random will be a boy?

Probability that a girl is chosen = 23/45 = .511 So, the probability that a boy is chosen = 1 - .511 = .489

You are tossing a coin and throwing a die What is the probability of tossing head or tail and throwing a number greater than 4?

Firstly, the probability when tossing a coin and getting a head or tail is 1/2, then rolling a die, there are 6 sides so the chance of rolling any number is 1/6, there are 2 chances of rolling greater than 4 ie 5 and 6, so the probability of rolling a 5 or 6 in 1/3, as these are independent events you multiply the probability getting a heads of tails, (1/2) by the probability of rolling a five or six, (1/3) which gives you 1/6 or 0.1666 recurring.

Does a negative z score yield a negative probability value?

no, z score can be negative but a probability is a always positive between 0 and 1.

What is probability of NOT winning if the chances of winning is 0.008 and you try 110 times?

The chance of not winning on one attempt is 1 - 0.008 = 0.992 The chance of not winning over 110 attempts is therefore 0.992110, since you must fail every time. 0.992110 = 0.413 (to three decimal places). (It follows that 0.587 is the chance of winning on at least one attempt.)