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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
P(6) = 5/36 = 0.138888... ≈ 13.9%
When two fair dice are rolled, the sample space (all possible outcomes) has 36
equiprobable events:(1,1), (1,2), (1,3), (1,4), (1,5),(1,6), (2,1), (2,2), (2,3), (2,4),
(2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5),
(4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).
There are 5 events where the sum of the dots of each die is equal to 6:
(1,5), (2,4), (3,3), (4,2), (5,1).
So in two fair dice are rolled the probability that the total number of spots shown is equal to 6 is, P(6) = 5/36 = 0.138888... ≈ 13.9%
The probability of four out of six shots is the probability of four successes, times the probability of two failures, times the number of permutations of successes and failures:
P(four out of six free throws) = 15 * (2/5)4 * (3/5)2 = (15 * 16 * 9) / (625 * 25) = 432 / 3125
How many different arrangements of letters in the word sample can be made?
There are 6! = 720 different arrangements.
Theoretical articles use existing research to advance theory. The development of theory is traced in order to expand and refine theoretical constructs.
What is the probability of throwing a dice and getting the number 1?
Depends on the dice!
There are six sides on a dice. The number 1 is on on out of the six sides to the probability of getting a one is
1/6 which is equal to .16666 or 16.6%
What is the probability that for S's come consecutively in the word Mississippi?
The probability is 1: it is a certainty. Otherwise the word would not be Mississippi!
How large are standard index cards?
Standard index cards are approximately 3 inches by 5 inches in the United States. What is standard in the United States is not standard in other countries.
Experimental or empirical probability.
What is the probability of rolling a number greater than 4 on a cube labeled 1-6?
1/3 the two numbers greater than 4 would be 5 and 6 so 2/6=1/3.
The reverse complement is the DNA sequence reversed and then its complementary base pairs. For example, I have a sequence: ATGGGCCT so the reverse complement would be AGGCCCAT
What is population in statistics?
It is the set of all units which are being studied. If I am looking at the area of countries, then the population is the set of all countries; if I am studying the earthworms in my garden then the population might be each 20 cm* 20 cm square of my garden (I sample some squares and count the earthworms in them).
Are there any positions you can use during intercourse that increase the chances of having a boy?
Absolutely not! When and how you have sex has nothing to do with what sex your child will be!
Anything that is normally distributed has certain properties. One is that the bulk of scores will be near the mean and the farther from the mean you are, the less common the score. Specifically, about 68% of anything that is normally distributed falls within one standard deviation of the mean.
That means that 68% of IQ scores fall between 85 and 115 (the mean being 100 and standard deviation being 15) AND 68% of adult male heights fall between 65 and 75 inches (the mean being 70 and I am estimating a standard deviation of 5).
Basically, even though the means and standard deviations change, something that is normally distributed will keep these probabilities (relative to the mean and standard deviation). By standardizing these numbers (changing the mean to 0 and the standard deviation to 1) we can use one table to find the probabilities for anything that is normally distributed.
What is the role of genetics in migraines?
The discovery of specific genes associated with migraine indicates that genetic mutations are responsible for the abnormal excitability of the nerve cells in the brains of patients with migraine.
What are the odds of rolling a 1 on a 100 sided die three times in a row?
Assuming that there is only one 1 on the 100 faces, the odds are (1/100)3 or 10-6, that is 1 in a million.
What Besides the king and queen which other playing card has a picture?
The other picture card is the Jack.
The probability is B*G/(B+G+R)^2where
B = number of Blue marbles
G = number of Green marbles and
R = number of marbles of other colours.
What is the probability that you will roll no number greater that 3 with two dices?
The probability of rolling a total of 3 or less on two dice is 3 in 36 or 1 in 12.
The probability of any event must lie in the interval [0,1].
What is the probability that there will be 93.75 percent or more HEADS in n tosses?
For n in [1, 16], Prob = nC0*2-n.
For n in [17, 32] Prob = (nC0+nC1)*2-n
For n in [33, 48] Prob = (nC0+nC1+nC2)*2-n
In general,
For n in [(k-1)*16, k*16] Prob = (nC0+nC1+nC2+...+nCk-1)*2-n.
