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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
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Jack tosses a coin thirty times how many times would you expect the coin to land tails side up?
About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.
About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.
About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.
About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.
Prob of heads = 1/2
Prob of 3 = 1/6
Prob of both = 1/2 x 1/6 = 1/12
Number of possible ways for one cube to fall = 6 .
Number of those possibilities that show a nmumbver less than 6 = 5 . (1, 2, 3, 4, and 5)
Probability of rolling a number less than 6 = 5/6 = 831/3 %
Does a symmetrical distribution have a variation?
Yes. The distribution can be compact (centred tightly around the mean) or spread out. It can have a peak in the centre or two peaks at each end, or other variations.
How many ways can 7 different books be stacked on a shlef?
The number of ways 7 different books can be stacked on a shelf is the same as the number of permutations of 7 things taken 7 at a time, which is 7 factorial, or 5040.
How can you be sure of getting a 50 out of 50 ratio from flipping a coin?
You cannot because it is a random event. The whole point of it being a random event is that you can never be sure. The probability should get closer and closer to 50% as you increase the number of trials but there is no way to ensure certainty.
What are people with two heads called?
People with two heads are often referred to as "conjoined twins" or "dicephalic twins" when each twin has a separate head but shares a single body. This rare condition occurs due to incomplete splitting of a fertilized egg during early development. The medical term for this specific type of conjoined twin is "dicephalic parapagus." Such individuals may have varying degrees of shared organs and limbs, depending on their specific anatomy.
Whats the difference between random errors and systematic errors?
Random errors - Random errors can be evaluated through statistical analysis and can be reduced by averaging over a large number of observations. Systematic errors - Systematic errors are difficult to detect and cannot be analyzed statistically, because all of the data is off in the same direction (either to high or too low). Spotting and correcting for systematic error takes a lot of care.
If you tossed a number cube What is the probability you would toss an 8?
If the "number cube" you are referring to is what we normally call a die (one of a pair of dice), the chances of tossing an 8 are nothing since the cube has only 6 sides and is numbered 1 to 6.
If a "number cube" is something else, perhaps someone else can answer the question.
1/2
Probability of each question correct is 1/4 or 0.25. Since there are 5 questions, raise 0.25 to the 5th power or (0.25)5. So, probability all correct is 0.0009765.
How many different 4 letter permutations are there for the letters in the word toolroom?
120 four letter permutations if you don't allow more than one 'o' in the four letter
arrangement.
209 four letter permutations if you allow two, three and all four 'o'.
1.- Let set A = {t,l,r,m,}, and set B = {o,o,o,o}.
2.- From set A, the number of 4 letter permutations is 4P4 = 24.
3.- 3 letters from set A give 4P3 = 24, and one 'o' can take 4 different positions in the
word. That gives us 24x4 = 96 four letter permutations.
4.- In total, 24 + 96 = 120 different four letter permutations.
5.- If the other three 'o' are allowed to play, then you have 2 letters from set A that
give 4P2 = 12 permutations and two 'o' can take 4C2 = 6 position's, giving 12x6 = 72
four letter permutations.
6.- One letter from set A we have 4P1 = 4, each one can take 4 different positions, the
rest of the spaces taken by three 'o' gives 4x4 = 16 different permutations.
7.- The four 'o' make only one permutation.
8.- So now we get 72 + 16 + 1 = 89 more arrangements adding to a total of 89 + 120 = 209 different 4 letter arrangements made from the letters of the word toolroom.
[ nCr = n!/((n-r)!∙r!); nPr = n!/(n-r)! ]
a random sample
