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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
How many ways can you arrange 5 books on a shelf order is important?
5 books can be lined up on a shelf in (5 x 4 x 3 x 2 x 1) = 120 different sequences.
What is the probability of winning a straight bet in roulette?
In American Roulette, with 36 numbers, Zero, and Double Zero, the odds of winning a straight bet (a single number) is 1 in 38, or about 0.02632. The payoff, however, is only 35 to 1. In European Roulette, with 36 numbers and Zero, the odds of winning a straight bet is 1 in 37, or about 0.02703.
What happens to experimental probability as the number of trials increases?
The probability from experimental outcomes will approach theoretical probability as the number of trials increases. See related question about 43 out of 53 for a theoretical probability of 0.50
What is the probability of getting both tails on two tosses of a coin?
The probability of two tails on two tosses of a coin is 0.52, or 0.25.
What does it mean when a data set of 10 measurements has a mean of 15 and a standard deviation of 0?
It means that all of the ten numbers are 15!
Standard deviation tells you how spread out the data is from the mean value. Or in other words, it tells you how far the numbers in your data are away from the mean value.
If the standard deviation is a high number, it means the data is largely spread out and that there are big differences in the data. The numbers in the data would be quite far from each other. For example, if you had data like: 8, 35, 13, 47, 22, 64, this would probably mean that you'll get a high standard deviation because each of the numbers are very spread out.
On the other hand, if the standard deviation is small, it tells you that the numbers in the data are quite close together and that there is only a small difference between the numbers in the data. For example, if you had data like: 19, 25, 20, 22, 23, 18, this would probably mean that you'll get a low standard deviation because each of the numbers aren't that spread out
In the scenario you've given, the standard deviation is ZERO. This means that there is no spread or variation AT ALL with the numbers in your data. This means every single number in the data is the same.
Since your mean is 15 and every number in your data is the same, that means that all the ten numbers in your data have to be 15!
Hope that makes sense.
Jamz159
How many cards are diamond or a four in a 52 deck of regular cards?
13 cards are diamonds. Four cards are 4. One card is the 4 of diamonds.
What is the probability that there will be rain during at least one of three days?
There is insufficient information in the question to properly answer it. You need to specify what range of dates and what the typical climate is like, perhaps by specifying the geographic location that you are interested in.
If you want to take this to an extreme, and say for any date and for anywhere on the world, then since it is always raining at least somewhere, then the probability that there will be rain during at least one of three days is 1.
How do you calculate the standard deviation of the mean using Excel?
=stdev(...) will return the N-1 weighted sample standard deviation.
=stdevp(...) will return the N weighted population standard deviation.
What is the probability of rolling a sum of 8 and doubles when rolling two dice?
The probability of rolling a sum of 8 and doubles when rolling two dice is 1 in 36, or about 0.02778.
Simply note that there are 36 permutations of two dice, of which exactly one of them (a 4 and a 4) matches the conditions specified.
How many 6 of diamonds in a deck of 52 cards?
There is only 1 in each deck.
There are 4 '6s' in total:
- 6 of hearts
- 6 of clubs
- 6 of spades
- 6 of diamonds
What is difference between sample and representative sample?
A sample is any subset of the total population. A representative sample is one that is chosen so that its characteristics are similar to that of the population.
Why is heads more likely than tails?
It isnt, There is a 50/50 chance on getting a head or either a tail, as there are 2 sides as it has 2 faces. I hope this helped :D X
What is the sample space when tossing 3 coins?
The sample space when tossing 3 coins is [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]
Yes.
5/36
Are all symmetric distribution are normal?
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
What is the probability of rolling doubles or rolling a product of 18 when rolling two dice?
When two dies are rolled, there are 36 different outcomes. (1,1),(1,2),....(6,6).
Let A denote the event of rolling doubles.
There are 6 doubles (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
P(A) = 6/36=1/6
Let B denote the event that the product is 18.
Count how many of these outcomes give you a product of 18. Only (3,6) and (6,3) give you a product of 18.
P(B)=2/36=1/18
There are no events that give you a double and whose product is 18.
P(A or B) = P(A)+P(B)
P( double or 18) = 1/6+1/18 = 4/18 = 2/9
What are the combinations of rolling 2 dice?
In a combination the order does not matter, so they are:
1 1 , 1 2 , 1 3 , 1 4 , 1 5 , 1 6
2 2 , 2 3 , 2 4 , 2 5 , 2 6
3 3 , 3 4 , 3 5 , 3 6
4 4 , 4 5 , 4 6
5 5 , 5 6
6 6
What is the odds against drawing a 6 from a standard deck of cards?
The odds of not drawing a 6 from a standard deck of 52 cards is 48 in 52, or about 0.9231.
The probability of drawing three diamonds from a standard deck of 52 cards is (13 in 52) times (12 in 51) times (11 in 50), or 1716 in 132600, or about 0.01294.
it depends on the total number of marbles you have!
