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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 is the probability of getting a sum of 8 when two six sided dice are rolled?

There are 36 possible outcomes (6x6). There are 5 possible rolls that will give you an 8 (6+1, 5+2, 4+4. 2+5, 1+6). 5 out of 36 or 1 in 7.2

What is the permutations of freezer?

A freezer is a freezer: it has a fixed shape and a fixed purpose so there are really no permutations.

What is the formula for finding probabilities?

The formula for finding probability depends on the distribution function.

What is potentially inclusive?

Potentially inclusive events are events that can happen simultaneously. For example, events A and B can occur at the same time. When these events do cannot occur simultaneously, then then are called Mutually exclusive (opposite).

Potentially Inclusive: If A is heads of Coin 1 and B is heads of Coin 2, then tossing of both the coins is potentially inclusive since you can get heads on both the coins same time.

Mutually exclusive: If A is heads and B is tails , then tossing of a coin is mutually exclusive since you cannot get heads and tails at the same time. You either get heads or tails.

What is the probability of obtaining exactly three heads in four flips of a coin given that at least one is a head?

50-50. each toss is independent of any previous toss.

if all tosses are to be heads/tails then each toss you multiply by the number of chances. i,e. 2, starting with 1. three heads in a row is 1x2x2

How are sperm and eggs the same?

They both contain 1/2 the number of chromosomes of a "normal" cell.

They don't contain the necessary organelles to survive on their own.

They both can create a zygote (if they are combined).

Both are gametes and are produced by meiosis's.

Is ace before 2?

Ace is either higher than king or lower than two. It depends on the game.

What is the probability a captain and a goalkeeper will be among 5 players selected from eleven?

It is possible for the captain and the goalkeeper to be the same person. This changes the probability very significantly. There is nothing in the question to indicated that this is or is not the case.

What is the difference between population survey and sample survey?

A population survey, better known as a census, entails the collection of each unit in the population. In sample survey information is collected from a subset of the population. The subset, or sample, needs to be selected carefully so that it is representative of the whole population and, if that requirement is met, statistics based on the sample are good estimators for the corresponding population parameters.

Probablity of seven rolling two dice?

The probability of a sum of seven if you roll two dice is 6/36 or 1/6. There are 6 ways to roll a 7; (6,1) (5,2) (4,3) (3,4) (2,5) & (1,6) and 36 possible outcomes.


What are the applications of binomial distribution?

It models the outcome of a number of independent trials in which each trial has only one outcome [that is of interest] with a constant probability of that outcome.

There are random processes that meet these requirements exactly as well as others that may be approximated by the distribution.

How many people have the same birthday in the US?

EVERYBODY in the US has the same birthday as someone else in the US. The converse would be that someone in the US has his/her own birthday and nobody else in the entire population of 300,000,000 people in the US was born on that day.

What is the probability of getting a 4 or a 6 on one roll of a single die?

2 in 6 or 1 in 3

There is 1 in 6 chance to get a 4 and a 1 in 6 chance to get a 6, combined it is 2 in 6

What is the probability that no girls?

We would need to know the number of children in the family to answer this question. For instance, the probability of having no girls in a family of two children would be 1/4 theoretically. In general it is 2-n where n is the number of children.