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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 is the difference between the normal distribution and Poisson distribution?
The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value.
The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).
What is the probability the king of hearts followed by the jack of hearts with replacement?
If only two cards are drawn randomly from a standard deck, the probability is .00037, approx.
Probability of winning the lottery?
To calculate the odds of winning lotto where choose say 6 numbers out of 40 for example the calculation is 40X39X38X37X36X35 divided by 6X5X4X3X2X1 or about 3.8 million to 1 on any one line. If you have 45 numbers to choose from it would be 45X44X43X42X41X40/6X......etc or about 8.2 million to 1.
To the extent that I can make any sense of the question: Yes, the probability function for an s orbital is spherically symmetric and dependent on radial distance only.
Fifteen letter words without repeating the letter spelled without repeating a letter?
hydro-pneumatic ambidextrously
Without any other information, I would have to say: 69%.
It is 0.0039 approx.
52 cards, 4 of them 3s... 4 in 52 = 1 in 13 = ~7.7%
3.6
What is the probability of rolling a 6 with a single roll on a dice?
one in six
1:6
six sides, one of which is a six
same odds for any of the numbers
How many queens are in a deck or cards?
There are four queens in a deck, one for each of the suits, spades, hearts, diamonds, and clubs.
What is the probability of drawing 5 queens from a standard deck of cards?
there should only be 4 queens in a deck of cards so 0.0%
How long will it take to count to a billion dollars by counting a dollar per second?
1 billion seconds
16666666.67 minutes
277777.7778 hours
11574.07407 days
What is the probability of at least one event of 20 year frequency occurring in 50 years?
The random variable has a Poisson distribution with parameter L = 1*50/20 = 2.5.
So Prob(at least one event in 50 years) = 1 - Prob(No events)
= 1 - L0e-L/0! = 1 - e-2.5 = 0.918 approx.
What is the probability of getting 3 heads and 3 tails if a fair coin is tossed 6 times?
only about 75% because very often it is not equal
The probability of 3 heads and 3 tails is 0.3125
How many ways can 5 people sit in a row if two of them will NOT sit by each other in the row?
a.b..
a..b.
a...b
.a.b.
.a..b
..a.b
6 possible ways for two people not to sit next to each other
double that to 12 if b comes before a.
there is 1x2x3 = 6 possible for the dots on each of the above 12 combinations
so answer = 6x12 = 72
* * * * *
The correct answer is derived as follows:
The total number of ways of seating 5 people in a row is 5x4x3x2x1 = 120.
Rather than work out the number of ways in which the two people do not sit together, it is simpler to work out the number of ways in which they do sit together and subtract this from the total.
For this purpose, it is possible to treat the two people as one entity and so that gives 4*3*2*1 = 24 ways. However, this number needs to be doubled to allow for the two people to swap places: making 48 such ways.
The final answer, therefore, is 120 - 48 = 72 ways.
What is the probability of drawing an Ace and then a 7 from a 52 card deck?
The probability of drawing an ace and then a seven from a standard deck of 52 card is (4 in 52) times (4 in 51), or 16 in 2652, or 4 in 663, or about 0.006033.
