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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 do you calculate standard deviation without a normal distribution?

You calculate standard deviation the same way as always. You find the mean, and then you sum the squares of the deviations of the samples from the means, divide by N-1, and then take the square root. This has nothing to do with whether you have a normal distribution or not. This is how you calculate sample standard deviation, where the mean is determined along with the standard deviation, and the N-1 factor represents the loss of a degree of freedom in doing so. If you knew the mean a priori, you could calculate standard deviation of the sample, and only use N, instead of N-1.

How many different ways can a deck of 52 cards be rearranged?

This is known as a factorial calculation. The answer is 52! (i.e. 52x51x50x49x48 etc...)

The answer is 8.06581752 × 1067.

What is the probability that two presidents will have the same birthday?

The probability, over presidents of all organisations, through all of time, is 1.

What is the name of a suit of cards 7 or more letters?

Hearts (6 letters)

Clubs (5 letters)

Diamonds (8 letters)

Spades (6 letters)

So it's got to be ... Diamonds!

What is the probability of flipping 91 coins and getting a head 91 times in a row?

The probability of flipping 91 coins and getting a head 91 times in a row is 1/291 or (1/2)91 or 4.039E-28.

The (1/2)91 is when there is exactly 91 coin tosses or n = 91.

As the number of trials increases so does the probability of at least 1 run of length 91.

The average number of coin flips to see 91 in a row is 4.951760157141521e+27

Odds of drawing a red king in cards?

There are two red kings in a standard deck of 52 cards. So the odds of drawing one of those two cards is:

2 (red kings) / 52 (cards)

This reduces to 1/26, which comes out to about 3.85%.

That is the same as the odds of drawing a specific letter from an envelop containing slips of paper with the whole English alphabet.

What is the probability of drawing 2 cards that are 8?

The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement. Without that information it is not possible to give a meaningful answer.

What is the probability of tossing a single coin and getting 2 heads before you get 3 tails?

5 independent events, each of them with a probability of 1/2; you need to multiply all together, so you get (1/2) to the power 5.Note: any other specific combination you can get when throwing a coin 5 times - for example, head, tails, head, tails, head - will have the same probability.

What is the probability of rolling a sum of 9 or less with two dice?

The probability is 1, if you roll them often enough. For a single roll, it is 1/6.

How is math used in cooking?

Math is used in cooking by using a certain amount of teaspoons, cups,and tablespoons. Like 1 teaspoon of vanilla would be used in cookie dough or something like that, 6 cups of flour for bread, depends on what kind of bread you make, and 3 tablespoons for something else

A tetrahedral die has 4 triangular sides numbered 1 to4 If two tetrahedral dice are rolled what is the probability the sum is 7?

There are 42 or 16 outcomes for rolling 2 described dice. There are 2 ways to obtain a 7: 3,4 & 4,3. So, if two tetrahedral dice are rolled the probability the sum is 7 is 2/16 or 1/8 or 0.125.

Calculate the empirical probability of a pair in a 5 card hand of poker?

There are 13 ranks of pairs possible with 6 combinations of the suits in each pair. Once a pair has been chosen there are 48 cards left in the deck.

That means 6*13*(48c3) = 1349088 paired hands out of (52c5) total hands, about 52%.

This however also includes the hands with two pair and a full house.

What is the probability of drawing a ace from a normal deck of cards?

Since there are 4 aces is a normal deck of 52 cards, the probability of drawing an ace is 4 in 52, or 1 in 13.

What are the chances of having twins when the father to be is an identical twin and his mother has identical twin brothers?

You have the same chance as the general population. Identical twins are a genetic accident, researchers still don't know what triggers an egg to split making two embryos from one fertilized egg.

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