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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
Is having a baby boy or girl that give out cigar to celebrate?
You can hand out cigars for either, you won't find a better occasion to celebrate with a cigar!
What is the formula for probability when you don't know the outcome?
It is the probability distribution function that is relevant for the experiment.
Which event did not happen in 1968?
The Apollo 11 moon landing did not happen in 1968; it occurred in July 1969. In 1968, significant events included the Tet Offensive during the Vietnam War, Martin Luther King Jr.'s assassination, and the Democratic National Convention protests. Each of these events shaped the social and political landscape of the time.
How many words of 6 letters can be written if the first and last letters are both q?
6 letters minus your 2 unchanging letters leaves you with 4 letters of any combination of 26 possible characters each. That is 26^4 26 to the 4th. 456976 different combinations. If you understand permutations I used the simple repeatable permutations formula x^n.
What are the odds against drawing a 6 of clubs from a deck of cards on the third draw?
Since no information is given about the first two draws, they do not matter.
The odds against drawing a 6 of clubs from a standard deck of 52 cards is 51 in 52, or about 0.9808.
How Do you Finish Level 6 Of Rolling Fall?
Cut the middle between the two balls and cut the left one when its swing towards the zombies, then after the right one had swung the top zombie off let it swing to the bottom ones on the left then cut the chain, and then cut the chain to the one zombie on the piece of wood.
How many 4 digit permutations can you get with 10 numbers?
Since there are 10 numbers to fill 4 spots, each spot would have 10 choices for which number would fill it. We have (10)(10)(10)(10)=1000.
There is insufficient information for us to even begin to understand this question. Please edit the question to include more context or relevant information.
How many different ways can you arrange the letters of the word caring?
the word "caring" has 6 letters and none repeat so it is 6 factorial
6! = 6x5x4x3x2x1 = 720 ways
What is the probability of not getting a 6 on a dice?
5/6
There is a 5 in 6 chance of not getting a 6.
No. There are 2 sides of the coin, so it's a 50 50 chance. There is an equal oppurtunity for it to land on heads or tails.
How black fours are in a standard deck?
In a standard deck of 52 playing cards, there are two black fours: the four of spades and the four of clubs. Each suit in the deck has one four, and the spades and clubs are the two black suits.
a) Both are cups.
The first draw has a 12/48 chance of being a cup. The second one has 11/47 (because we have one less card and one less cup) so 12/48 * 11/47 = 5.8%
b) At least one is a cup.
As with before, the first draw has a 12/48 chance of being a cup. But here's the thing. There's actually four possibilities. If C is CUP and N is NOT CUP then the four possible draws are: CC, CN, NC, and NN. Only in one do we have no cups. So what we want are the total odds of CC, CN, and NC.
CC = 12/48, then 11/47 = 5.8% (just like before)
CN = 12/48, then 36/47 = 19.1%
NC = 36/48, then 12/47 = 19.1%
Any of these things happening is a valid condition of at least one cup, so the total odds is any of them happening, 5.8+19.1+19.1 = 44%. Pretty good odds!
We can even verify by calculating the odds of NN:
36/48, then 35/47 = 55.8%
So my rounding has introduced some inaccuracy here. You'll need to run the numbers yourself if you need it to more decimal points, but the odds otherwise total correctly.
c) One is a cup and the other is a sword.
We basically just did this, since this is CN or NC. 19.1 + 19.1 gets us 38.2% chance that one or the other happens.
target or adrug store will always have them. never buy from a store like spencers, sure they may look funny or cool but they are not a big brand and are cheaper and more likely to break. target usually has the best selection. durex is the best brand in my opinion
How do you model a weibull distribution using mean and variance?
Major step is to set the Weibull shape parameter at 3.6 to approximate the Normal.
There are a number of ways that have been suggested. Possibly by being dropped by Batman in a disfiguring acid. Possibly by self mutilation or being attacked by another individual (the mob, his own father, etc.). There are several different supposed origins in the comics and films.
State and prove the Cochran's theorem?
can be written, where each Qi is a sum of squares of linear combinations of the Us. Further suppose that
where ri is the rank of Qi. Cochran's theorem states that the Qi are independent, and each Qi has a chi-squared distribution with ri degrees of freedom.[citation needed]
Here the rank of Qi should be interpreted as meaning the rank of the matrix B(i), with elements Bj,k(i), in the representation of Qi as a quadratic form:
Less formally, it is the number of linear combinations included in the sum of squares defining Qi, provided that these linear combinations are linearly independent.
ExamplesSample mean and sample varianceIf X1, ..., Xn are independent normally distributed random variables with mean μ and standard deviation σ thenis standard normal for each i. It is possible to write
(here, summation is from 1 to n, that is over the observations). To see this identity, multiply throughout by and note that
and expand to give
The third term is zero because it is equal to a constant times
and the second term has just n identical terms added together. Thus
and hence
Now the rank of Q2 is just 1 (it is the square of just one linear combination of the standard normal variables). The rank of Q1 can be shown to be n − 1, and thus the conditions for Cochran's theorem are met.
Cochran's theorem then states that Q1 and Q2 are independent, with chi-squared distributions with n − 1 and 1 degree of freedom respectively. This shows that the sample mean and sample variance are independent. This can also be shown by Basu's theorem, and in
12 blue marbles
Contributions of math to Carl Gauss?
Carl Gauss wrote Disquisitiones Arithmeticae, which is regarded today as one of the most influential books written in math, and is the first book written on number theory.
What is the most likely combined score when throwing two dice?
For normal dice, and assuming "combined" refers to the sum, the answer is 7.
What is the probability of getting exactly 2 boys out of 3 children?
There is no simple answer to this question because the genders of children depend on the parents genes and age and so are not independent events. Also, the probabilities of the two genders are not equal. Further, some of the children may be identical twins or triplets.
Assuming, however, that the genders are independent, the answer is 0.3872, approx.
The binomial distribution is characterized by situations that are analogous to?
Rolling a six with a die or not rolling a six.
