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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 the probability density function tell you?

The area under the pdf between two values is the probability that the random variable lies between those two values.

How many ways you can arrange 6 cars in equal rows and columns?

If you include a row or column of 1, the answer is 4: 1 by 6, 2 by 3, 3 by 2, and 6 by 1.

If you roll two dice what is the probability of the event that you roll a total of seven or ten on the two dice?

To roll a 7: 1/6, 2/5, 3/4, 4/3, 5/2, 6/1 To roll a 10: 4/6, 5/5, 6/4 total of 9 chances out of 36 or 1 in 4

What is the size of the sample space for all the outcomes possible from rolling four dice?

There is 6 possible outcomes per roll of a die. So, there are 6*6*6*6 outcomes or 64 or 1296 possible outcomes.

If the football team that wins the coin toss elects to defend a goal who gets the ball in the second half?

The team that lost the coin toss at the beginning of the game would get first choice to start the second half. It would be their choice to defend a goal, kickoff, or receive the ball.

What are the odds of being an albino?

The worldwide probability of albinism is about 1 in 17,000, or about 0.0000588. Prevalence varies, and is highest among sub-Saharan African people.

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What is the probability of selecting a constant from the letters?

Until the letter is selected, it is a variable. Immediately after it is selected, the outcome is no longer a variable but a constant.

What are the limitation of the probability?

Probability of an even must lie in the closed interval [0, 1].

Probability of an even must lie in the closed interval [0, 1].

Probability of an even must lie in the closed interval [0, 1].

Probability of an even must lie in the closed interval [0, 1].

What happens if a value falls below the mean 2 standard deviation when the probability to belong to the distribution is lower than 0.05?

Nothing actually happens! You just get a value that is very unlikely but still possible. That it is possible is evidenced by the fact that the value was observed.

What is the chance of getting an even number when you toss a number cube 10 times?

It is

1 - Prob(No even numbers in 10 throws)

= 1 - [Prob(Not an even number)]10 = 1 - (1/2)10 = 1 - 1/1024 = 1023/1024 or 0.9990

So you are almost certain to get an even number.

1928 Indian head penny?

Check again. The last year for Indian-head pennies was 1909.

The amount of cards in a standard deck?

Fifty-two (52), not including two jokers included in most decks.

What happens in the event of a vacancy occurring in either chamber of congress?

Whenever a seat in the U.S. Senate or House of Representatives is vacated due to death, resignation or removal, the State Governor issues a Writ of Election, and a special election is held to fill the seat for the remainder of the term. The special election can coincide with a regular congressional election. In the case of a vacated Senate seat, the Governor can appoint someone to temporarily fill the seat until an election can be held if the state legislature grants him that power.

If a card is drawn from a deck numbered 1 through 10 and a die is rolled what is the probability of drawing a 10 and a 3?

The probability of drawing the 10 is 1/10 and the probability of rolling a 3 is 1/6. So, the probability of both is 1/10 * 1/6 = 1/60.

What is the probability of getting a 7 in a pack of cards?

It is 1: a certainty. A complete pack of cards must have a seven.

What must you do to determine the probability of multiple independent events happening a certain way?

Divide the number of events that can happen a certain way by the number of all possible events.

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