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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 probability of getting two prime numbers 1-10?

The probability of getting two prime numbers when two numbers are selected at random and without replacement, from 1 to 10 is 2/15.

Is continuous distribution normal distribution?

le standard normal distribution is a normal distribution who has mean 0 and variance 1

What are the chances of picking a king and a diamond from a deck of cards?

the probability of picking a king from a deck of cards is 4/52,which is 1/13 because there are 4 kings. Which are king of heart, king of diamond,king of club and king of spade. And the probability of picking a diamond is 13/52,which is 1/4.

How do you find the probability of a spinner?

You find out how many choices there are in a spinner and then you take what it wants you to find the probability of and tur it into a fraction

For example:

You have a spinner with 4 triangles in it....2 are red and 2 are green,What is the probability of landing on a green triangle

2 out of 4

What is the relationship between conditional probability and the concept of statistical independence?

If events A and B are statistically indepnedent, then the conditional probability of A, given that B has occurred is the same as the unconditional probability of A. In symbolic terms,

Prob(A|B) = Prob(A).

What is the probability of getting at least one head on three tosses of a coin?

In the experiment of tossing a fair coin 3 times, the sample space is made of the

following 8 equiprobable events: S = {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}.

The events that at least have one head are 7. So the probability of getting at least

one head on three tosses is: P(at least one H) = 7/8 = 0.875 = 87.5%

How many three of diamonds are in a deck of 52 cards?

Of the 52 cards, there are an equal number of each of the 4 suits (Clubs, Spades, Diamonds and Hearts) so there are 52/4 = 13 of each suit.

In each suit there is an A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K = 13 cards

Out of the 13 Diamond cards, there is only one which is a 3.

So there is only one 3 of diamonds in a standard deck of 52

What is the benefit of knowing 3 standard deviations above and below the mean of data from a process?

If the process can be assumed to follow a Gaussian distribution then 99.7% of the outputs of the process will lie between those two limits. That may be of benefit in quality control if it is a production process.

What is the probability of landing on heads twice?

The probability of landing on heads each time a fair coin is flipped, is 1/2.

Assuming that the question was supposed to be:

"What is the probability of landing on heads twice in a row?"

To calculate compound probabilities like this, we first have to work out the probability of landing on heads each time, and then multiply these two probabilities to get a compound probability.

1/2 x 1/2 = 1/4

So the probability of landing on heads twice in a row = 1/4 (for a fair coin)

What is the probability of flipping a coin 4 times and getting 4 heads?

You still still have a 1:2 chance of getting heads regardless of the times you flip.

How many possible outcomes if 3 coins is flipped once?

As a group, I count four.

3 heads

3 tails

2 heads, 1 tail

2 tails, 1 head

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