Probability

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.

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.

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.

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%.

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.

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).

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

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.

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

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.

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

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.

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.

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.

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).

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.

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.

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%.

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.

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.

The probability of a phone being answered in 2 minutes, given that the average time is 3 minutes, is not specified in the information given. More details or specific probabilities are needed to determine the answer.

The probability that a randomly chosen student is a woman can be calculated by dividing the number of women by the total number of students in the class. In this case, there are 13 women and 31 total students, so the probability is 13/31, which simplifies to approximately 0.419 or 41.9%.

No. You're only born 1 day, and can only have 1 birthday. Of course you can celebrate it on another day, and then call it 2 birthdays, but you can only have one real :)

In a matrilineal society, an event that is most likely to occur is the tracing of lineage and inheritance through the maternal line. This means that descent, inheritance, and family ties are primarily determined through the female line. Women may hold positions of power and authority, and the passing down of property or leadership roles would be typically done through the female lineage.