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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 quarters must you randomly select and weigh if you want to be 99 percent confident that the sample mean is within 0.025g of the true population mean for all quarters?

It is not possible to answer the question without some information about the variability in the mass of the coins.

If you have a rubbish mint and the masses vary a lot then you will need a much greater sample than if the mint operates effectively.

What is the probability of tossing 2 number cubes 500 times?

The answer depends on your persistence. With people who play dice the probability is close to 1; for older people who grew up playing board games, the probability is close to 1. However, for today's younger people it is likely to be quite close to 0.

The answer depends on your persistence. With people who play dice the probability is close to 1; for older people who grew up playing board games, the probability is close to 1. However, for today's younger people it is likely to be quite close to 0.

The answer depends on your persistence. With people who play dice the probability is close to 1; for older people who grew up playing board games, the probability is close to 1. However, for today's younger people it is likely to be quite close to 0.

The answer depends on your persistence. With people who play dice the probability is close to 1; for older people who grew up playing board games, the probability is close to 1. However, for today's younger people it is likely to be quite close to 0.

What is the chance of picking 3 nickels in a row from a pot of 50 nickels and 100 pennies?

196/5513, or about .0356=3.56%

Assumption

I assume that you are asking what is the probability that the first three coins picked out of the pot are nickels. Obviously the answer would be different if, for example, you are asking what is the probability that if you pick all of the coins out of the pot what is the probability that at some point in picking out coins you will pick three nickels in a row.

Explanation

P(three nickels in a row)=P(first coin picked is a nickel)*P(second coin picked is a nickel given that first coin picked is a nickel)*P(third coin picked is a nickel given that first two coins picked are nickels)=(50/150)*(49/149)*(48/148)=196/5513, or about .0356=3.56%

If a penny hits you at 126 mph will you die?

I cant imagine there is much research to give you a definite answer to your specific question but I would say it is very unlikely, but could be remotely possible.

We think of anything over 100mph as being fast because we tend to relate that sort of speed to driving a car and generally anything over 60 mph starts to be thought of a 'fast'.

In ballistic terms 126mph is pretty slow and the mass of a penny would not cause great trauma unless it hit you in the eye for example. Anywhere else on the body would probably sting a lot and would probably leave a bruise and possibly break the skin.

A test has 15 questions each with 4 possible answers What is the probability of getting 5 correct?

That really depends on whether or not you are at all familiar with the subject at hand: For example, I know NOTHING about brain surgery, so I would "probably" miss EVERY question.

How does the number of repetitions effect the shape of the normal distribution?

When we discuss a sample drawn from a population, the larger the sample, or the large the number of repetitions of the event, the more certain we are of the mean value.

So, when the normal distribution is considered the sampling distribution of the mean, then more repetitions lead to smaller values of the variance of the distribution.

What is the probability of a red face card is not drawn from adeck of cards?

The answer depends on how many cards are drawn and whether or not they are replaced afterwards.

For a single card, drawn at random, the probability is 26/52 = 1/2.

The answer depends on how many cards are drawn and whether or not they are replaced afterwards.

For a single card, drawn at random, the probability is 26/52 = 1/2.

The answer depends on how many cards are drawn and whether or not they are replaced afterwards.

For a single card, drawn at random, the probability is 26/52 = 1/2.

The answer depends on how many cards are drawn and whether or not they are replaced afterwards.

For a single card, drawn at random, the probability is 26/52 = 1/2.

What does picking mean?

I= Insterting

P=Purpose

I=Unknown

C=Chose

K=Knowledge