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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 3 of hearts in a deck?

In a standard deck of 52 playing cards, there is only one 3 of hearts. Each rank (such as 3) has one card in each of the four suits (hearts, diamonds, clubs, and spades), making the 3 of hearts unique.

33 and half percentage of 100?

33.5 If the question was "what is 33 and a half expressed as a percentage of 100?" The answer would be 33.5%

Why if you flip a coin 1000 times you should get about 500 heads and 500 tails?

Because the probability of heads is 0.5 and the probability of tails is 0.5. That does not mean, however, that you will get exactly 500 of each outcome in 1000 trials. The more trials you perform, the closer to the theoretical probability you will get. You will be close with 1000 trials, but you will not be exact, unless you are very lucky.

What is the difference between intensive distribution and exclusive distribution?

the different intensive is when you sell your product all over the stores that sell the smiler prduct to yous.

Drawing two marbles out of a bag dependent or independent?

If you draw one out, replace it, and draw another out, it's independent.

If you draw one out, DON'T replace it, and draw another out, it's dependent. (Similarly if you draw them both out at the same time.)

How many pairs of jeans are there in the world?

Approximately 5030028771. This is taken by each person having an average of 0.7 pairs of jeans, and there being 7,185,755,500 people in the world.

What were the outcomes of the first lateran council?

The First Lateran Council, held in 1123, resulted in several significant outcomes aimed at addressing various issues within the Church. It reaffirmed the authority of the papacy and the importance of clerical celibacy, condemning the practice of simony. Additionally, it sought to resolve the Investiture Controversy by reinforcing the independence of the Church from secular powers. The council also established guidelines for the election of popes, emphasizing the need for a more orderly and spiritual process.

What are the chances of 3 people in an office of 6 having the same birthday?

The probability that there will be 3 people born on one birthday, and 3 people born on a different birthday is 1x(1/365)2 x (364/365)3 as it doesn't matter which birthday is the one being shared. This number then needs to be multiplied by the number of possible ways the people can be arranged. For example it could be persons a, b and c sharing a birthday, or it could be persons c, e and f. The number of ways they can be arranged is 20, so multiply by 20 and we get 0.00014889. Thus there is a 0.014889% chance that an office of 6 people will have 3 who share a birthday.

Can pawn pass another pawn?

A pawn may pass another pawn if there is some tactical or strategical advantage to do so - this is an option exercised at the discretion of the player(s). It only becomes a passed pawn if it has no more enemy pawns to pass by.

Can the variance of a sample be larger than the sample mean?

Yes,

Mean is given by, E(X) sum of samples / no. of samples.

Variance is Var.(X) = E(X^2) - [E(X)]^2.

It is the 1st term which makes the variation of variance independent of mean.

In other words, Variance gives a measure of how far the samples are spread out.

What are the odds of winning 1 million dollars?

It depends on the particular lottery game. You need to rephrase the question and specify which lottery game you are referring to.

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