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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

The difference between the theoretical and empirical probability?

The term empirical means "based on observation or experiment." An empirical probability is generally, but not always, given with a number indicating the possible percent error (e.g. 80+/-3%). A theoretical probability, however, is one that is calculatedbased on theory, i.e., without running any experiments.

Since there is no theory that will calculate the probability that an area will experience an earthquake within a given time frame, the 90% figure is an empirical probability, presumably based on data of major earthquakes in the San Francisco area over past years.

A pair of dice are rolled and the sum on their upturned faces is recorded What is the probability that the sum showing is 8 given that one die is showing a 5?

it depends on how many time you throw the dice. the increase number of your throw, the higher the probability to get 8 that one die is showing a 5. that what my opinion.

What does 60 percent chance of scattered thunderstorms mean?

60% chance for Scattered Thunderstorms means there is a very likely chance that you will see thunderstorms scattered around throughout the day. A scattered thunderstorm means that one moment their maybe rain and thunder, the next moment it may be clear.

Use this table for reference:

  • 0-20% Chance of Rain is: Very unlikely
  • 21-49% Chance of Rain is: Unlikely but should be expected
  • 50-75% Chance of Rain is: Likely and should be expected
  • 75+% Chance of Rain is: Very likely and should be expected.

Two coins are flipped and a die is rolled how many possible outcomes are there?

Each coin can land in two ways.

The die has 6 possible outcomes.

So there are 2 x 2 x 6 = 24 possible outcomes for the whole experiment.

Note that I am assuming the coins can be told apart - say the first coin and 2nd coin and that H and then T is different that T and then H. If not, then there are only be three outcomes for the coins-- 2 heads, 1 head or no heads and the total number of outcomes would be 3 X 6 = 18.

Do your clothes get less wrinkled if you roll them?

They will get more wrinkled if you roll them. When you roll them they bend, creating folds and, if stored long enough, the folds will become wrinkles. The best way to keep clothes from getting wrinkled is laying them flat, not folding or anything. However this takes up alot of room so it would be best to fold them.

What are the possible outcomes for flipping 2 coins?

HH, HT, TH, or TT. Each has a probability of 1/4. You might consider HT and TH the same, in which case you'd say the probably of HH and TT are 1/4 each and the probability of TH is 1/2.

In tossing 10 coins the probability of getting exactly 5 heads is?

252/1024 or 0.246.

One method of calculating it is this: The total number of outcomes possible by tossing a coin 10 times is 2 to the 10th, which is 1024. In addition, getting 5 heads in 10 tosses is like arranging 5 identical objects in 10 spaces (the remaining 5 spaces are by default Tails), which can be done in 10C5 ways, which is 252. So the probability of getting 5 heads is 252/1024.

What is the theoretical probability of rolling a factor of 6 on a die?

When rolling a die, a 1, or a 2, or a 3, or a 4, or a 5, or a 6 will come up. Factors of six are 1, 2, 3 and 6. This leaves 4 and 5 that are not factors of 6. The probability of rolling any one number in one roll of the die is 1 in 6, or 1/6. To find a "cumulative" probability where we "combine" the odds of rolling several numbers, as is the case here, we simply add the probability of rolling each number together and sum them.

In the case here, the probability of rolling 1 is 1/6, and the probability of rolling 2 is also 1/6, and the probability of rolling 3 is 1/6 and the probability of rolloing 6 is 1/6. We add 1/6 + 1/6 + 1/6 + 1/6 and get 1+1+1+1/6, which is 4/6. The 4/6 reduces to 2/3, and that 2/3 represents the probability of rolling a factor of 6 with one roll of a die. There is one more little thing.

Probability is a mathematical term where "odds" are expressed on a scale of zero (0) to one (1). The probability of something happening is either 0, or 1, or something in between. If the probability of something happening is 100% (which is to say that somehting must occur), then the probability is 1. And if something cannot happen, then the probability of it occurring is 0. In this light, the 2/3 chance of rolling a factor of 6 with one roll of a die is 0.6666....

If you roll a dice twice what is the theoretical probability of rolling three then four?

On a normal 6 sided dice the probability of rolling any number is 1/6.

When we want a 3 AND then a 4 we multiply the probabilities together.

So P(3 then 4) = 1/6 x 1/6 = 1/36

How do you make a marble sorter hopper release one marble at a time?

Carefully assemble the box of marbles to the box of marbles to the box of human fecies

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