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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 different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize?

There are many different selections that could be made. You can figure it out by starting with 50 and then multiplying by each number lower to get all of the possibilities.

What is the probability of drawing a black 7 from a standard 52-card deck?

Probability of drawing a black 7 from a standard 52-card deck is 2/52 or 1/26.

A surgical technique is performed on twelve patients. You are told there is 70 chance of success. Find the probability that the surgery is successful for exactly 9 patients.?

To find the probability that exactly 9 patients are successful, we can use the binomial probability formula. The formula is P(x=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, and p is the probability of success. Plugging in the values, we have P(x=9) = (12 choose 9) * 0.7^9 * (1-0.7)^(12-9). Calculate this expression to find the probability that exactly 9 patients are successful.

Why can a function not be a probability mass function?

A function cannot be a probability mass function (PMF) if it violates the properties of a PMF. A PMF must assign a non-negative probability to each possible outcome of a discrete random variable, and the sum of probabilities for all possible outcomes must be equal to 1. If a function does not satisfy these properties, it cannot be considered a PMF.

What is the probability of throwing just one one with two dice?

The probability of throwing just one one with two dice can be calculated by considering the different ways it can occur. There are two ways to get one one: rolling a one on the first die and any number on the second die, or rolling any number on the first die and a one on the second die. There are a total of 36 possible outcomes when rolling two dice, so the probability is 2/36, which simplifies to 1/18.

What is called probability that is based on repeated trials of an experiment?

The probability that is based on repeated trials of an experiment is called empirical or experimental probability. It is calculated by dividing the number of favorable outcomes by the total number of trials conducted. As more trials are performed, the empirical probability tends to converge to the theoretical probability.

Can probability be expressed as a percent?

Yes, probability can be expressed as a percent. It is common to express probabilities as a percentage, which is calculated by multiplying the probability by 100. For example, if the probability of an event is 0.25, it can also be expressed as 25%.

What probable cause of Robert Wadlow's condition?

Robert Wadlow, known as the tallest person in history, had a condition called hyperplasia of the pituitary gland. This condition caused an excess production of growth hormone, leading to his abnormally tall stature.

What is the definition for fraternal twins?

Fraternal twins started from two separate eggs in the mother.

By comparison, identical twins started from one egg but it divided at the first stage of development into two separate zygotes (and thus two separate babies).

When rolling 2 dice what is the probability of rolling a number greater than 2?

Prob(Rolling a number greater than 2)

= 1 - Prob(Not rolling a number greater than 2 on either die)

= 1 - Prob(Rolling a number less than or equal to 2 on both dice)

= 1 - Prob(Rolling a number less than or equal to 2 on a die)2

= 1 - (1/3)2

= 8/9

Where is the probability button on a casio fx-300ES?

The Casio fx-300ES calculator does not have a specific button for probability calculations. However, you can perform probability calculations by using the appropriate formulas and functions, such as the factorial (!) key for permutations and combinations, or the appropriate statistical functions for probability distributions.

A drawing pin is dropped from 1 meter what is the probability that it will land point up?

If a drawing pin is dropped from 1 metre, it would be about a 50/50 chance because drawing pins are extremely thin but you never know whether it will land point up or not. I don't know if I am perfectly right, but I hope this has helped you a little bit.

The probability that a given 80 year old person will die in the next year is .27?

The answer depends on where the man is. National statistical organisations publish age-and gender-specific mortality rates.

What is the chance of guessing a password right?

The chance of guessing a password right depends on the length and complexity of the password. If it is a simple password with only a few characters or common patterns, the chance of guessing it correctly can be relatively high. However, with longer and more complex passwords that include a combination of uppercase and lowercase letters, numbers, and special characters, the chance of guessing it right becomes extremely low.

Which events occurs earliest in time?

The Big Bang! Space-time did not exist before the Big Bang so there can be no earlier events.

What is the probability of getting a multiple of 3?

The answer depends on the domain. If the selection is made from any real or rational numbers, the probability is 0. If the domain is all integers (or all positive integers) then the probability is 1/3. If it is some other subset of integers, then the answer is a rational number between 0 and 1/3.

What is the probability of rolling a four on a 6-sided die?

The probability of rolling a four on a 6-sided die is 1 in 6, or approximately 16.67%. Since the die has 6 equally likely outcomes (the numbers 1 to 6), and only one of those outcomes is a four, the probability is 1/6.

What are the three ways probabilities are expressed?

Fractions can be expressed as any of fractions, decimals or percentages. Which of the above is normally governed by personal preference, the standard for the medium of communication, and the nature of the information.

What are the odds of rolling two ones on two 20-sided dies?

The odds of rolling a single one on a 20-sided die is 1 in 20 (1/20). Since the rolls are independent events, the odds of rolling two ones on two 20-sided dice would be (1/20) * (1/20), which simplifies to 1 in 400 (1/400).

How do you get the decimal equation for probability?

Find the total amount of possible outcomes, that's your denominator for the fraction, the bottom number, and find the amount of successes, that's your numerator, the top number. Turn the fraction into a decimal and that's your answer.

What happens if something were to happen to the governor?

If something were to happen to the governor, such as death, resignation, or removal from office, the lieutenant governor would typically assume the role of governor. In some states, there is a prescribed line of succession beyond the lieutenant governor that determines who would assume the role. The specific process and individuals involved depend on the state's constitution and laws.

What is the probability of spinning the spinner and landing on an odd number?

The probability of spinning the spinner and landing on an odd number depends on the number of odd numbers on the spinner and the total number of numbers on the spinner. If there are 3 odd numbers on the spinner and a total of 6 numbers, then the probability of landing on an odd number is 3/6, which simplifies to 1/2 or 50%.

What function do you use to calculate the probabilities of compound events?

To calculate the probabilities of compound events, you can use the multiplication rule or the addition rule, depending on whether the events are independent or mutually exclusive. The multiplication rule is used when the events are independent, and you multiply the probabilities of the individual events. The addition rule is used when the events are mutually exclusive, and you add the probabilities of the individual events.

What is the probability of getting four heads when flipping four identical coins at once?

The probability is 2/4 or 4/8 or 1/2. The reason is that if you have 4 identical coins and you flip all of them at once you have half a chance because you could either get all heads, all tails, or a combination.

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