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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 much error is expected between the sample mean and population mean?

0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.

What is the standard used by statistics to determine the probability of an event occurring outside of chance alone?

There is no standard. Often the 5% or 1-in-20 rule is used but it really depends on the risk of error. If the consequences of making the wrong decision are great then a 1% or even smaller value may be used. - for example, in medical research.

What is the probability of getting an ace in a pack of 52 cards?

The probability is 0 if you pick the the card from one end of a mint pack (2 of clubs) and 1 if you pick it from the other end (A spades). Also, if you pick 49 cards without replacement, the probability is 1.

So, the answer depends on how many cards are drawn, and whether or not they are drawn from a well shuffled pack. The probability of getting an ace when one card is randomly picked from a pack is 4/52 = 1/13.

What is the probability of drawing a square?

The probability is 0: there are infinitely many shapes.

Why can 1 be a probability?

Because if there is absolutely no chance of something failing. For example lets say I have a standard deck of 52 cards what is the probably that I draw either a heart, a club, a spade, or a diamond. That covers every card in the deck meaning there is no way I did not get the outcome I wanted.

What is the probability of he Yellowstone super volcanoe erupting?

The probability is very close to 1.

It is not likely to disappear, not is it likely to remain dormant for the remaining 4 billion years (approx) that the earth is expected to continue in existence.

When a single card is drawn from an ordinary 52 card deck find probability that the number is from three to six inclusive?

The probability of drawing a three, four, five, or six from an ordinary 52 card deck is 4 in 13, or about 0.3077.

In a bag containing 6 purple marbles 19 green marbles 5 blue marbles 19 yellow marbles and 17 red marbles what is the probability of pulling out a yellow marble?

Total number of marbles in the bag = 6 + 19 + 5 + 19 + 17 = 66

Number of yellow ones = 19

If drawing perfectly randomly, then the probability of pulling a yellow one = 19/66 = 28.8% (rounded)

What is the probability that the card drawn from a standard 52 deck giving that the card is court?

The probability a drawing a court card (jack, queen, or king) from a standard deck of 52 cards is 12 in 52, or 3 in 13, or about 0.2308.

Can probability be less than 0?

No, it must be a number in the interval [0, 1].

How do you do probability saying no?

For any event A,

Probability (not A) = 1 - Probability(A)

What is the probability that a coin that is tossed 10 times what is the probability of it landing on heads 10 times?

The probability is 0.09766%.

Each toss has a ½ chance to be heads. To combine probabilities use multiply them. So the probability to get two heads out of two tosses is ½ * ½, and three heads out of three tosses is ½ * ½ * ½. So the exact answer is 0.5^10

What is the probability of picking a two replacing it in the deck of cards and then picking a king?

there is a 1 in 13 chance of picking a 2 in a deck of cards, then picking a king afterwards, its also a 1 in 13 chance, but together, theres a even slimmer chance.

What is the probability of rolling a sum of more than 4 with two number cubes?

With two six-sided dice, there are 36 possible outcomes. Let's look at the outcomes which the sum is less than or equal to 4: {1.1 1.2 1.3 2.1 2.2 3.1} That's 6 outcomes, which leaves 30 outcomes with greater than 4. So 30/36 = 5/6 or 83.333%

What is the difference bitween normal distrubution and standard normal distribution?

A normal distribution is defined by two parameters: the mean, m, and the variance s2, (or standard deviation, s).

The standard normal distribution is the special case of the normal distribution in which m = 0 and s = 1.