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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 does the experimental probability of making purple compared with the theoretical probability of making purple?

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

Can a coach get a red card?

A coach may be dismissed. He is not shown a card. Take the case of Arsene Wenger who was sent of in the Arsenal Manchester United game.

How many ways can you arrange a 3 letter word?

If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.

How many people do you need to gather if you want at least to of them to have birthdays in the same month?

13, if you want to be sure. It's impossible for a group of 13 people not to have at least one pair that share a birth month, because there are only 12 months.

If you'll settle for a lower probability, thechance that a group of 5 randomly chosen people will contain at least one pair born in the same month is about 3/5, and if you gather 6 people the chance that at least two of them will share a birth month is about 4/5. Those aren't exact probabilities both because the math doesn't work out that way and and because birthdays are not randomly distributed by month ... significantly fewer people are born in February than in August. An exact probability would need to take that into account, and it's frankly more research and math than I want to do unless I'm getting paid for it.

Two cards are drawn from a deck of cards what is the probability that both cards have a point value of 10?

A deck of cards consists of 52 cards.

Each card is available four times.

That makes 13 diffent card types.

Four different cards are worth 10 points: 10, Jack, Queen, King.

That means that 4x4 Cards out of 52 are worth ten.

That are about 30% (30/100).

Two tens in a row have the expectation of 30%x30% which is about 9%.

What is the prabability of rolling a 3 then rolling a 4 on a standard dice?

Probability of rolling a 3 on the first roll = 1/6

Probability of rolling a 4 on the second roll = 1/6

Probability of both = (1/6) x (1/6) = 1/36 = 27/9 %

How many different ways can 15 books be arranged vertically side by side on a shelf?

The number of ways that 15 books can be arranged on a shelf is the same as the number of permutations of 15 things taken 15 at a time. This is 15 factorial, or 15!, and is 1,307,674,368,000.

What are all passwords for tails' nightmare 2?

painless - no All_the_tails_nightmare_2_cheatslost

rampage - invincible

puppet - play as the Tails Doll

super - super speed

lunar - a moon bounce

blind - 100% darkness

dream - starts end clip when you click start All_the_tails_nightmare_2_cheats

start in room four - pitfall

start in room five - boulder

start in room six - fork

start in room seven-loop

start in room eight - drain

start in boss room-doom

tip:to jump the credits hold down

Read more: All_the_tails_nightmare_2_cheats

When do you use nomial distribution?

Never, because there is no such distribution.

What is the probability of getting tails 4 times in a row while flipping a coin?

It is 1/(2^4)

i.e. 1/16

This is because there is 1 in 2 chance of it happening once, and multiply by itself for each successive go.

What is the experimental probability of rolling 3 or a 4 on a number cube?

The experimental probability of rolling a 3 or a 4 on a number cube cannot be stated here, because it depends on the actual results of a set of trials, results which will vary for each set of trials.

Roll a die 10 times and see what you get. Do it another 10 times, and you should see different results.

The theoretical probability, however, is well known - it is 2 in 6, or 1 in 3, or about 0.3333.

How do you get p in the binomial distribution?

There are several ways to determine p, the probabilityof success. First is by trials, called relative frequency. Second, use the classical approach which is calculate how many times it can occur divided by the sample space. Third is subjective, an educated guess.

Are certain combinations of face values more likely in rolling two dice?

Yes.

All pairs are only half as likely. This is because a set of different faces can have either die showing one of the values and the other showing the other.

Thus, 2-2 will only happen if both, die A = 2 and die B = 2

But 2-3 will happen if A = 2 and B = 3 OR if A = 3 and B = 2.

What is the probability of getting a perfect score in a three-question true or false quiz?

The probability of getting a perfect score in a three-question true or false quiz is 100% if you studied and retained the subject matter and the questions addressed that subject.

If, however, you did not study, and you made pure guesses without any bias towards an answer partially based in your (now rather poor) knowledge, then the probability of getting any one question correct is 50%, so the probability of getting all three questions correct is 50% to the third power, or 12.5%.

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