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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

Suppose one in every four cars is black and black SUVs amount to one tenth of all cars What is the probability that a black car picked at random is an SUV?

Suppose there are only 20 cars in the world: 5 will be black and 2 will be black SUVs, so if you pick a black car at random there are 2 chances out of 5 that it will be an SUV, ie probability of 0.4 or 40%

What is the theoretical probability of getting a prime number if you randomly pick a number from 20 through 39?

There are 20 numbers from 20 through 39, and 4 of them are prime (23, 29, 31, 37), the probability is 4 in 20 or 0.20.

How many different outcomes can there be if a soccer team orders knee pads in 4 different colors 6 sizes and 2 styles?

There are 4*6*2 = 48 combinations.

Thie above number does not include additional combinations that can be obtained from mismatched knee pads.

How many ways the letter Random can be arranged?

Well, in Georgia, math one (the class) teaches us that to find a permutation like that, you count the possible ways to do something. In this case it is six. Then, you multiply it by every number below it (because you can't used a letter again if it has already been used).

Therefore: 6x5x4x3x2x1= 720

Randoms letters can be put together in 720 ways.

What are the odds that they have at least one daughter and one son if a family have 2 children?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.


However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of a daughter and a son in two children is approx 0.4994

State the function of immunoprotein?

An immunoprotein receptor is a blood protein. It plays a role in the efficient functioning of the immune system.

What is the standard deviation?

The standard deviation of a set of data is a measure of the spread of the observations. It is the square root of the mean squared deviations from the mean of the data.

What is a random sequence limit?

To the best of my knowledge, a random sequence limit imposes restrictions on random number generation. For example, one may want to generate random numbers such that any number does not occur consecutively three times.

Another definition of a random sequence limit is the number that a sequence of random measurements of some property converge to as the number of measurements increase.

How many possible outcomes are there rolling six sided cube twice?

  • If each throw is unique, then there are 36 distinct outcomes(6 x 6 = 36).
  • If each throw is not unique (you count 1-4 same as 4-1) then 21 different possible.
  • If you're just interested in the sums, then 11 different possible (1+1 =2 up to 6+6=12)

But any time you want to calculate probabilities with two die throws, you need to use the 36 distinct outcomes.

How do you convert a z-score into an x-score?

Suppose m is the mean and s the standard deviation of a random variable, X, which is normally distributed. Then, given Z,

X = m + sZ