 # 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.

###### 17,291 Questions
Math and Arithmetic
Statistics
Probability

# What is the probability of obtaining exactly 4 heads in 6 flips of a fair coin?

The probability of a head in one flip is 1/2.

The probability of HHHHTT is (1/2)6 = 1/64

The possible correct flips are HHHHTT, HHHTHT, HHTHHT, HTHHHT, THHHHT, HHHTTH, HHTHTH, HTHHTH, THHHTH, HHTTHH, HTHTHH, THHTHH, HTTHHH, THTHHH, TTHHHH, each with a probability of 1/64.

Total probability is 15/64.

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# What event has a probability of 0?

-- The freezing over of Hell.

-- A confirmed sighting of flying pigs.

etc.

Besides anything that is impossible, as noted above, the simultaneous occurrence of two mutually exclusive events has a probability of zero: It is raining and it is not raining, it is on and it is off, etc.

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Probability

# Is it unusual to get a 12 when a pair of dice is rolled?

no it is not unusual to get a 12 as it is impossible to know what you will get as. it is based on a number of factors like the size of die or speed of throwing etc. so it is not unusual to get a 12

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# What is the value of z if the area between -z and z is 0.754?

Since the normal distribution is symmetric, the area between -z and 0 must be the same as the area between 0 and z. Using this fact, you can simplify this problem to finding a z such that the area between 0 and z is .754/2=.377. If you look this value up in a z-table or use the invNorm on a calculator, you will find that the required value of z will be 1.16. Therefore, the area between -1.16 and 1.16 must be approximately .754.

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Job Training and Career Qualifications

# How many non diamond face card?

There are 9 non-diamond face cards in a standard 52 card deck.

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Probability

# How many distinguishable permutations of letters are possible in the word critics?

The word critics has 7 letters which can be arranged in 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 ways. To see this, imagine placing one of the 7 letters in the first slot. Then place a different letter in the second slot (there are only 6 letters left now), then 5 and so on down to 1. We multiply because we must do each of these steps to create a rearrangement of the word critics.

The problem then is that critics contains 2 'c's and 2 'i's, which are indistinguishable. For example, we might count "rtiicsc" several times by switching the places of the 'i's or the 'c's even though we cannot tell the difference in the word. So, we must divide out the repetition, by dividing by 2! = 2 * 1 twice. This corrects the over-counting from the duplicate letters.

So the correct result is 7!/(2! * 2!) = 1260 distinguishable permutations.

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Probability

# What is the probability of rolling double sixes with 2 rolls of the die?

Rollin for dubs- check em

1/6 chance for rolling the first six. 1/6 chance for rolling the second one (independantly). when doing compound probability problems like this you multiply the chances of each soooo

1/6 x 1/6 = 1/36 chance of rolling dubs sixes (or any other number for that matter)

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Multiple Births

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# What probability draw 2 cards sum is 9?

Assuming a standard deck of 52 cards with aces counting as 1 and all face cards counting as 10, there are:

16 ways of drawing an ace and an 8,

16 ways of drawing a 2 and a 7

16 ways of drawing a 3 and a 6

16 ways of drawing a 4 and a 5, for a total of 64 ways to draw 2 cards whose sum is 9.

There are 52!/(50!2!) = 1,326 ways to draw two cards, so the probability is 64/1326 = 0.048, or about 1 in 21.

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Earth Sciences
Probability

# How was Caloris Basin created?

Probably by a big explosion caused by a meteor or a comet

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Probability

# A probability distribution is an equation that?

Associates a particulare probability of occurrence with each outcome in the sample space.

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# How often does a bicentennial occur?

Every 200 years.

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Math and Arithmetic
Statistics
Probability

# What is the sample space if you roll 2 dice?

The sample space for 2 dice is 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

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# How many red face cards are there in a set of playing cards?

The same number as there are black face cards. The face cards are King, Queen and Jack (they have faces). There are two red suits - hearts and diamonds. Therefore, two red Kings, two red Queens and two red Jacks. Six red face cards altogether.

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Synonyms and Antonyms
Probability

# What does fanciful mean?

1. characterized by or showing fancy; capricious or whimsical in appearance: a fanciful design of butterflies and flowers.

2. suggested by fancy; imaginary; unreal: fanciful lands of romance.

3. led by fancy rather than by reason and experience; whimsical: a fanciful mind.

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# What is the probability of flipping a coin and getting 1 head and 1 tail in any order?

50% chance: Here are the four possibilities: H.H, H.T, T.H, T.T; where the first letter is the first flip, and the second letter is the next flip (H means heads and T means tails).

So out of the 4 possible outcomes, 2 of them result in one heads and one tails. 2/4 = 50%.

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# If a multiple-choice question has five answer choices and you submit one wrong answer before getting the question correct how much credit will you lose for that part of the question?

question with options, you will lose of the credit for that question. Just like the similar multiple-choice penalty on most standardized tests, this rule is necessary to prevent random guessing.

With five choices, your chance of getting the question wrong is 80% when guessing, and every wrong answer costs you 1/4 of a point. In this case, leave it blank with no penalty. Guessing becomes a much better gamble if you can eliminate even one obviously incorrect response. If you can narrow the choices down to three possibilities by eliminating obvious wrong answers

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Math and Arithmetic
Algebra
Probability

# How many ways can you rearrange the letters in tattoo?

We can rearrange the letters in tattoo 60 times.

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Proofs
Statistics
Probability

# A fair coin is continually flipped What is the probability that the first four flips are a. H-H-H-H b. T-H-H-H c. what is the probability that the pattern T-H-H-H occurs before the pattern.?

a) 1/16

b) 1/16

c) 1/256 [this answer was given, but it is unclear what part-c is even asking: The pattern occurs before what pattern? There are many variables which are unspecified and would affect the outcome.]

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# About the history of gamma distribution?

According to the links, Karl Pearson was first to formally introduce the gamma distribution. However, the symbol gamma for the gamma function, as a part of calculus, originated far earlier, by Legrenge (1752 to 1853). The beta and gamma functions are related. Please review the related links, particularly the second one from Wikipedia.

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# Statistics and probability 7th grade?

yea a little in grade 7 you will likely go over that again in grade 8.

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Probability

# What is union probability?

A union probability is denoted by P(X or Y), where X and Y are two events. P(X or Y) is the probability that X will occur or that Y will occur or that both X and Y will occur. The probability of a person wearing glasses or having blond hair is an example of union probability. All people wearing glasses are included in the union, along with all blondes and all blond people who wear glasses.

According to Professor Franz Kurfess of California Polytechnic State University, San Luis Obispo, union probability of two independent events A and B can be denoted as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

= P(A) + P(B) - P(A) * P (B)

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Birthdays
Probability

# How many people share your birthday?

On average every day there are 1.9 million people celebrating their birthday. That is the total global population (7 billion) divided by the number of days in a year (365).

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# What is the possible winning numbers in jai alai in cebu for tomorrow?

671

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