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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 does equally likely as unlikely mean in probability?
If you are using it in terms of an event (aka rolling a dice, flipping a coin, etc.) it means there is a 50% chance of it happening and not happening. It can be equal to 50% or 1/2 or anything equal to those!
How do you find the probability of the complement of an event?
The probability of the complement of an event, i.e. of the event not happening, is 1 minus the probability of the event.
What is the probability of flipping three tails when three coins are flipped?
The probability of flipping three tails with three coins is (1 in 2)3 or 1 in 8 or 0.125.
How many ways the word probability can arrange?
There are 11 factorial, or 39,916,800 permutations of the letters in the word PROBABILITY. However, because the letters B and I are duplicated, there are only one quarter of that, or 9,979,200 distinguishable permutations.
There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.
However, if you assume that they are independent events then, given that the probability of a boy is approx 0.5169, the probability of the event described is 0.5169*1*1*0.4831 = 0.2497
What are the odds of running out of peanut butter and jelly at the same time?
That's only possible to calculate if more detail is given. For example, how likely is the person to buy jelly normally? How much of it do they consume on average? how likely are they to buy peanut butter? what is their average consumption? Do they actually enjoy eating peanut butter and jelly at the same time? etc...
Can you have a probability greater than one?
No. Probability ranges from zero, meaning the event will not happen, to one, meaning the event will happen.
What is the total area under the normal distribution curve?
The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%).
For example, if the mean (average) male height is 5'10" then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10". This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve.
This leads us to the definitions of z-scores and standard deviations to represent how far along the normal curve a particular value is. We can calculate the likelihood of the value by finding the area under the normal curve to that point, usually by using a z-score cdf (cumulative density function) utility of a calculator or statistics software.
What is the probability of picking an ace of spades randomly from a pack of cards?
1/52 or one out of fifty-two
It depends on how many points there are that the spinner can land on. If there are 8, for example, the probability would be 8/16, or 1/2...
What is the probability of flipping a quarter and getting heads and rolling a die and getting a 6?
The probability of flipping a quarter and getting heads is 1 in 2. the probability of rolling a die and getting 6 is 1 in 6.
What is the chance of rolling a 6 twice in a row on a die?
The chance of rolling a 6 twice in a row, on a six-sided die, is 1 in 36 or 2.78%.
The number of possible different results for rolling a six-sided die twice is 6 squared (6 times 6), or 36, therefore the probability of getting any one of the possible results is 1 out of 36.
Probability of drawing a diamond?
The probability of drawing a diamond from a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.
It is 1*5C3*(4*3*2*1) = 240
Why the sample should be normally distributed?
The sample should not be normally distributed.
If you have a population of size N from which a random sample of size n is to be drawn, then there are NCn possible samples. Each one of these must have the same probability of being thesample. That is, the sample is uniformly distributed - not Normally.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring.
If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
The probability is 5/9.
