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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

In first grade math what is a model?

It is like a dighram

a Picture to describe a problem

How is the expected outcome determined in a discrete distribution?

If X is a discrete variable then

E(X) is the sum of x*Prob(X = x) where the summation is over all possible values of x.

You toss the same coin five times how would you classify the events?

The answer depends on what you are looking for: the full sequence of results, the number of heads (or tails) the number of runs, the lengths of runs, or whatever.

How many different seating arrangements are possible with 6 people and 6 chairs?

6 people multiplied by 6 different chairs meaning there are a total of 36 different combinations because each chair has 6 different combinations.

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Rafaelrz.

If you have 6 chairs in a row, and 6 persons are going to be seated in those chairs,

the number of different arrangements (permutations) the 6 people can be seated

is 6! (six factorial):

6! = 6x5x4x3x2x1 = 720

i.e.,

The first person to sit has 6 options. For each option of the first person the second

has 5 options. For each option of the second person the third has 4 options. And so

on.

How many events are in a decathton?

A decathlon is 10 events, deca means 10, think of decade, or decameter (10cm)

What are the chances that you get 2 red cards and then a black card dealt randomly out of a 52 card deck?

The probability of getting a red card out of a standard 52 card deck is 26 in 52, or 0.5. The probability of getting a second red card is 25 in 51, or 0.490, because one red card is missing, and the deck is short by one card. The probability of getting a black card next is 26 in 50, or 0.52, because the deck is short by two cards, but all the black cards are there. Multiply these probabilities together, and you get about 0.127, or about 1 in 8, so the probability of getting 2 red cards and then a black card in a random 52 card deck is about 1 in 8.

How many ways can you get a sum of 11 when 2 dice are thrown?

There are just two ways to get the value of 11 when dice are thrown. one would be a 5 and 6 and the other is a 6 and 5.

Is it possible to make an Infinite Improbability drive?

As of now, creating an actual "Infinite Improbability Drive" as seen in Douglas Adams' "The Hitchhiker's Guide to the Galaxy" is purely fictional and not feasible in reality. It exists as a humorous and nonsensical concept in the realm of science fiction.

What are the odds of getting a sum divisible by four by rolling 2 dice?

When rolling 2 dice there are 36 combinations that can occur.

Sums will range from 2 to 12; sums divided by 4 are 4, 8, and 12

You can get this by dice combinations of

1 3

3 1

2 2

4 4

2 6

6 2

3 5

5 3

6 6

That is 9 ways. so odds are 9/36 = 1 in 4

Find the perimeter of a square if the length of its diagonal is 12 inches Round to the nearest tenth?

D = diagonal, S = side, P = perimeter

S = D/sqrt(2)

P = 4S = 4D/sqrt(2)

So, for this problem:

P = 48/sqrt(2)

To the nearest tenth, this is 33.9 inches

What is saliva sample testing?

Saliva sample testing is a technique used to collect samples of a person's saliva, or spit, to check for or monitor certain drugs, hormones (chemical messengers from one cell or group of cells to another), antibodies

How many aces is 150 feetx 120 feet?

None. Aces are playing cards that are usually very much smaller that the measurements given. Or they are services in games that cannot be returned and so are winners. However, these cannot be measured in terms of the square footage. Or they can be people who are champions in their field but again, these would not be measured in square feet.

How many sequences have ten flips and 8 heads?

45 sequences. Make it easier and think what are the 2 tail flips. They are: 1-2; 1-3;1-4...1-10. That is 9 sequences starting with 1. There are 9 sequences starting with 2, 9 starting with 3, etc, up to 10. That makes 90 sequences, but since 1-2 is the same as 2-1, ie order doesn't matter, divide that in half to get 45.

How do you get the negative of 4 to the 7th power?

Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.

What are the odd of roling any number with one dice?

When rolling a standard six-sided die, the odds of rolling any specific number (1 through 6) are 1 in 6, or approximately 16.67%. Since there are six possible outcomes, the probability of rolling any number is simply the ratio of favorable outcomes (1) to total outcomes (6). Thus, the odds of rolling any number are equal for each side of the die.

What is the only number not to have a reciprocal?

The only number to not have a reciprocal is zero. This is because it can't be divided by anything.

A pair of dice is rolled What is the problability fo getting a sum of 2?

Assuming you meant a standard pair of dice, only 1 and 1 add to 2, since there are no negatives, and numbers only stretch up to 6, and due to that, there is no 0. Therefore, 1/36 is the probability (probability of rolling a 1, 1/6, probability of rolling a 1, 1/6, 1/6(1/6) = 1/36).

How is it possible to not roll a 6 with 6 dice?

if you are talking about getting a roll that totals 6 - there is only one way to roll that - get all ones. as such there are 6^6 -1 = 46656 -1 = 46655 other ways to roll the dice. so the odds of not rolling a total of 6 with 6 dice is 46655/46656 = .~99.997857%.

If you are talking about not rolling a 6 on ANY of the dice, there are 5 ways to roll each die that will give you something other than 6 so the number of ways to not roll any 6's is 5^6 = 15625. That means the odds of not rolling any 6's on 6 dice is 15625/46656 = ~38.489798%

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