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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

How many different ways can you arrange the letters of the word party?

120 ways, 5! (5 factorial)

for first place you have 5 candidates,

for second place you have 4 candidates,

for third place you have 3 candidates,

for fourth place you have 2 candidates,

for last place you have 1 candidates,

5 x 4 x 3 x 2 x 1 = 120 different ways

What is the probability that three F2 seed chosen at random will include at least one yellow seed?

The probability that three F2 seeds chosen from Mendel's study group will have at least one yellow seed is 63/64. It would be very rare to get three green seeds.

How do simulations help you understand the probability of events happening?

by keeping in touch with your family and friends and helping others

Can you use the formulas for a probability distribution to calculate parameters for a binomial probability distribution or can you just use the given formulas for a binomial probability distribution?

This depends on what information you have.

If you know the success probability and the total number of observations, you can use the given formulas. Most of the time, this is the case.

If you have data or experience which allow you to estimate the parameters, it may sometimes happen that you work like this. This mostly happens when n is very large and p very small which results in an approximation with the Poisson distribution.

Is it better to use range or mean absolute deviation when describing any distribution?

I think its better to use range deviation in any distribution because it doesn't cause any trouble

What is the probability of getting two heads in a row followed by three tails in a row?

If you toss a coin often enough, it is a certainty, so that the probability = 1.

The probability of that outcome in the first five tosses of a coin is (1/2)5 = 1/32.

Which conditions must be met to conduct a test for the difference in two sample means?

The two samples must be independent and the data must be at least ordinal. Under those conditions the Mann-Whitney U test can be used.

What is the probability of drawing a 6 or diamond from a deck of 52 cards?

The answer depends on how many cards are drawn and whether they are drawn at random.

The probability that a single card, drawn at random from a deck of cards in 16/52 = 4/13.

What is the difference between a simple random sample and a stratified random sample?

Sometimes a population consists of a number of subsets (strata) such that members within any particular strata are alike while difference between strata are more than simply random variations. In such a case, the population can be split up into strata. Then a stratified random sample consists of simple random samples, with the same sampling proportion, taken within each stratum.

What is the probability of a girl being chosen if there are 10 boys and 14 girls?

If the choice is unbiased, the change is 14/(10+14).

If the chooser prefers choosing boys, the probability is 0.

How many combinations can you make with 5 letters when letters can be repeated?

7,893,600 (seven million, 8 hundred ninety-three thousand, 600) combinations in English.

How does sample size affect the validity of an experiment?

The sample size has no effect on the validity of an experiment: instead, it is the experimental procedure and integrity of the experimenters.

The sample size can affect conclusions that may be drawn from an experiment. The larger the sample is, the more reliable these conclusions are.