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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

What are 5 things that are matter and five things that are not matter?

Five things that aren't matter are: sound, light, heat, gravity, and speed. Five things that are matter are air, water, foods, pencils, and paper.

How many ways are there to rearrange the letters in marmalade?

Calculate 9! and put that into the numerator. In the denominator, you need to account for repeated letters; since there are 2 "m" and 3 "a", the denominator should be 2! times 3!.

Note: The exclamation refers to the factorial.

Why is black luster soldier a forbidden card?

Black Luster Soldier is not a forbidden card, only Black Luster Soldier - Envoy of the Beggining (two different cards) Many people don't know this, but these cards are different. "Black Luster Soldier - Envoy of the Beginning" is an effect monster released in Invasion of Chaos which can either attack again once after it destroys a monster or remove a monster on the field from play. It also has the same ATK and DEF as Black Luster Soldier. It is forbidden because its effect to remove a monster from play is too powerful.

Can a cop pull you over without having a probable cause in Florida?

Technically, no. However, the definition of "probable cause" can cover a very large area, including the officer making a judgment call as to the way the person's driving, a loose license plate or one that is too dirty to be clearly seen, and so on and so forth.

What are the chances of having twins?

Only if twins run in your family. I am guessing the chances would be 1 in 100. Or if you take utility drugs you are bound to have twins.

What is the probability of drawing a 4 in a stack of 25 cards?

It rather depends on how many 4s there are in the stack. It's (however many 4s there are) to 25.

If you had a standard pack of playing cards then there are 52 cards of which four are 4s, so your odds are 4 in 52, or 1 in 13.

What are the odds of turning 13 on Friday the 13th?

The answer is approximately one in 213, and here is why;

1. There are 12 chances, in that year, of your birthday being on the 13th of a month, in 365.25 days (remember leap years).

2. There is a 1 in 7 chance of it being on a Friday, therefor:

If you divide 12 by 365.25 (365 and a quarter), and then by 7, you get 0.004693, or about 1 in 213.

Bayes theorm with one simple example?


First P(E|F) means the probability of E given F. Now, Bayes theorem gives us a way of calculating P(E|F) if we know P(F|E).

P(F|E) =(E|F)P(F) divided by

P(E|F)P(F) + P(E|F')P(F')

E = the event that an anabolic steroid detection test gives a positive result

F = the event that the athlete uses steroids
then
P(E|F) = probability that the test is positive for an athlete who uses steroids.
P(F|E) = probability that an athlete uses steroids given that the test is positive.

A drug test will detect steroid use meaning it show positive for an athlete who uses steroid 95% of the time. A rugby player has just tested poositive. The probability that he uses steroids is:

P(E|F) = 0.95 P(E|F') = 0.15 P(F) = 0.1 P(F') = 0.9


P(E|F)=(0.95)(0.1) divided by

(0.95)(0.1) + (0.15)(0.9)

What is the difference between atleast and atmost in probability?

The difference between "at least" and "at most" is not restricted to probability. The difference is simply one between the precise meaning of the phrases in every day English language.

Why is it important to study populations?

so you can know the number of animals there are in the species

Function ofbulb of sphygmomanometer?

The function of the bulb of a manual sphygmomanometer is to inflate the cuff to stop the flow of arterial blood in the arm so that the blood pressure can be determined. The bulb pumps air into the cuff, causing it to expand against the upper arm. Enough air is pumped into the cuff to stop the flow of arterial blood. The pressure is then slowly released and the point at which blood begins to flow again is recorded as the systolic pressure, representing the highest arterial pressure of the cardiac cycle. Blood flows only with the beating of the heart, however, and further pressure is released until the arterial blood flows freely. This point is recorded as the diastolic pressure, representing the lowest arterial pressure when the heart is at rest.

A tires life is 100 000km You buy 4 tires What is the probability that all 4 tires will wear out before 100 000km?

Answer

Various factors go into calculating the probability.
How you drive,proper tire and car maintenance ,tire rotations and road conditions are some of the factors that all play a part in how long your tires will last. If all handled properly I would say close to 100%.

This is not actually as complicated as it looks. All tyres will last for exactly 100000 km, as stated; this means all tyres will wear out at that distance. The probability of all wearing out before that distance is therefore zero.

This is a different question than one such as "the probability of a tyre lasting to 100000km is XYZ% so what is the probability of all wearing out before 100000km?".

What is the probability of getting a sum of five when rolling 2 dice nine times?

A single roll of 2 dice can come up in (6 x 6) = 36 ways.

A sum of five is made with

1 and 4, 4 and 1

2 and 3, 3 and 2

four out of the 36. The probability is (4/36)= 1/9 on each roll.

If each roll is perfectly random, then the probability of getting a 5 in 9 rolls is 100%.

A fair coin is continually flipped What is the probability that the first four flips are a. H-H-H-H b. T-H-H-H c. what is the probability that the pattern T-H-H-H occurs before the pattern.?

a) 1/16

b) 1/16

c) 1/256 [this answer was given, but it is unclear what part-c is even asking: The pattern occurs before what pattern? There are many variables which are unspecified and would affect the outcome.]

What is another name for fraternal twins?

Another name for fraternal twins is dizygotic twins.

How many ways can a committee of 2 teachers and 5 students to be formed from 7 teachers and 25 students?

For this type of problem, order doesn't matter in which you select the number of people out of the certain group. We use combination to solve the problem.

Some notes to know what is going on with this problem:

• You want to form a committee of 2 teachers and 5 students to be formed from 7 teachers and 25 students • Then, you select 2 teachers out of 7 without repetition and without considering about the orders of the teachers.

• Similarly, you select 5 students out out 25 without repetition and without considering about the orders of the students.

Therefore, the solution is (25 choose 5)(7 choose 2) ways, which is equivalent to 1115730 ways to form such committee!

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