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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 many distinct three letter arrangements can be found from the letters in mathematics?


The number of different three letter arrangements that can be done from the

letters in the word "mathematics"

is; 11P3 =

11!/(11-3)! =

990

Keeping score of a set of observations?

you could use a table saying when you saw it on 1 side and where on the other side

What is the probability of rolling two dice that the first dice is an even number?

There are only three even numbers on a "legal" six sided dice (2,4 & 6), which ever dice is designated as "first" whether rolled independently or in unison will have a 1 in 2 chance of being even.

Put another way: legal dice, designate first, 3 even, 3 odd, 50/50.

Bonus Answer: Applies to second dice also.

What is the probability that they will have at least one girl if a couple plans to have 6 children?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.

However, if you assume that they are independent events then, given that the probability of a girl is approx 0.48, then

Prob(at least one girl out of 6 children) = 1 - Prob(no girls out of 6 children)

= 1 - Prob(6 boys out of 6 children)

= 1 - 0.526 = 0.9809

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.

However, if you assume that they are independent events then, given that the probability of a girl is approx 0.48, then

Prob(at least one girl out of 6 children) = 1 - Prob(no girls out of 6 children)

= 1 - Prob(6 boys out of 6 children)

= 1 - 0.526 = 0.9809

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.

However, if you assume that they are independent events then, given that the probability of a girl is approx 0.48, then

Prob(at least one girl out of 6 children) = 1 - Prob(no girls out of 6 children)

= 1 - Prob(6 boys out of 6 children)

= 1 - 0.526 = 0.9809

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.

However, if you assume that they are independent events then, given that the probability of a girl is approx 0.48, then

Prob(at least one girl out of 6 children) = 1 - Prob(no girls out of 6 children)

= 1 - Prob(6 boys out of 6 children)

= 1 - 0.526 = 0.9809

What is the estimd population mean of sample 36 mean weight 3.01 standard diviation 03?

The answer will depend on the population mean of what variable? Height?, length or is it simply weight. If it is weight, the estimated (not estimd) population mean is 3.01 units: the same as the sample mean. The standard deviation (not diviation) is irrelevant.

The answer will depend on the population mean of what variable? Height?, length or is it simply weight. If it is weight, the estimated (not estimd) population mean is 3.01 units: the same as the sample mean. The standard deviation (not diviation) is irrelevant.

The answer will depend on the population mean of what variable? Height?, length or is it simply weight. If it is weight, the estimated (not estimd) population mean is 3.01 units: the same as the sample mean. The standard deviation (not diviation) is irrelevant.

The answer will depend on the population mean of what variable? Height?, length or is it simply weight. If it is weight, the estimated (not estimd) population mean is 3.01 units: the same as the sample mean. The standard deviation (not diviation) is irrelevant.

What is the best way to study probability in math?

It is best to study it systematically and carefully. Make sure you understand the various concepts before moving on to more complicated ideas.

It is best to study it systematically and carefully. Make sure you understand the various concepts before moving on to more complicated ideas.

It is best to study it systematically and carefully. Make sure you understand the various concepts before moving on to more complicated ideas.

It is best to study it systematically and carefully. Make sure you understand the various concepts before moving on to more complicated ideas.

What is the function of the chromatain?

The chromatain have four major functions. They package DNA into a smaller volume to fit in the cell. They strengthen the DNA to allow mitosis, and they prevent damage to DNA. Chromatain control gene expression and DNA replication.

What is the function of the common bileduct?

To drain bile from the liver (and the gall bladder) into the small intestines.

(Bile is a combination of waste products (mostly from decomposing hemoglobin) and solvents designed to help dissolve (digest) fats in your food.)

What are the chances of becoming a freelance writer in California?

Freelancing is a home based job, you can do it from any where and serve customers of any location.

What you need to have is excellent writing skills and analytical skills. If you are looking for working as a freelancer, you can choose Obuhi and get hired as per your skills they will help you to find a good job.

Suppose you roll two ordinary 6 sided dice how may ways could the product of the dice be less then12?

(1,1) = 1 (1,2) = 2 (1,3) = 3 (1,4) = 4 (1,5) = 5 (1,6) = 6

(2,1) = 2 (2,2) = 4 (2,3) = 6 (2,4) = 8 (2,5) = 10 (2,6) = 12

(3,1) = 3 (3,2) = 6 (3,3) = 9 (3,4) = 12 (3,5) = 15 (3,6) = 18

(4,1) = 4 (4,2) = 8 (4,3) = 12 (4,4) = 16 (4,5) = 20 (4,6) = 24

(5,1) = 5 (5,2) = 10 (5,3) = 15 (5,4) = 20 (5,5) = 25 (5,6) = 30

(6,1) = 6 (6,2) = 12 (6,3) = 18 (6,4) = 24 (6,5) = 30 (6,6) = 36

Out of 36 possibilities, 6 + 5 + 3 + 2 + 2 + 1 = 19 fit the requirements.

What do you notice about the distribution of volcaneos?

They tend to occur over pockets of magma and along the edges of tectonic plates

How many spades appear on the ace of spades in a standard deck of cads?

There is one large spade in the middle. And one spade below each A on the card. So there are three spades.

Suppose that you roll a pair of standard 6-sided dice a total of 42 times. What is the probability that you will get a sum of 5 at least four times?

The probability of getting 5 on one toss of a pair is 1/9. The most probable number of fives you will get after 42 tosses is 4 or 5.

Add the probabilities of getting 5 four, five, six, seven, eight etc times out of 42 tosses. By the time you get to 15 times, the probability will be very small and you can quit adding them up.

The probability of rolling 5 four times is (1/9)^4*(8/9)^38*42!/(38!*4!)

= 119,930*1.524*10^-4*1.138*10^-2

= 0.20803

The probability of rolling 5 five times is (1/9)^5*(8/9)^37*42!/(37!*5!)

= 8.507*10^5*1.6935*10^-5*1.2804*10^-2

= 0.18447

I am not going to continue this because it would take half the night, but you get the idea.

There is an easier way to do this that just occurred to me. It will give the same answer. Here it is:

Add the probabilities of getting 5 zero, one, two or three times, and subtract that from 1.

The probability of never getting five is (8/9)^42 = 0.007105

The probability of getting 5 only once is (1/9)*(8/9)^41*42 = 0.037304

The probability of getting 5 twice is

(1/9)^2*(8/9)^40*(42*41*/2) = 0.095591

Now YOU compute the probability of getting 5 three times. Add that to the probabilities above and subtract the sum from one. You should end up with a number around 0.6.

That will be the answer.

What are the odds of rolling a four on one die?

Since there are six sides on a die, the odds of rolling a 4, or any digit for that matter is 1/6

What is the probability of tossing 8 coins and 2 heads?

In a civilized culture whose citizens are accustomed to fundamental human rights

and the rule of law, one must hope that it's vanishingly small.

What did the math instructor think of the statistical probability conference?

There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.

What does the convince sample mean?

Nothing, since there is no such term. Check your notes and resubmit your question.