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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

Why is it the heart so hard to draw?

It may be easy to draw if you use symmetry.........

What does it mean to say that the chances of getting a head when a coin is tossed are one-half?

It means that if the coin were tossed an infinite number of times,

half of the tosses would come up heads and half would be tails.

What are the odds if being born on a weekends?

The answer depends on a number of factors. The main one is whether, in the medical profession's judgement, there are risks associated with the pregnancy. If so, they might prefer a hospital birth. Since staffing levels are lower at weekends, many hospitals prefer to avoid weekend births and so the probability of being born on a weekday is increased.

What are the considerations for the choice of sample size?

Some considerations are:

  • large samples take more time and money to process
  • if the characteristic of interest is very variable then a large sample is required for accurate estimates
  • if the characteristic of interest is very rare in the population then a large sample is required to ensure that units with that characteristic are included in the sample
  • the greater the accuracy required of the estimates based on the sample, the larger the sample required.

If two fair dice were rolled what is the probability of them rolling a sum of 11?

x

1

2

3

4

5

6

1

2

3

4

5

6

7

2

3

4

5

6

7

8

3

4

5

6

7

8

9

4

5

6

7

8

9

10

5

6

7

8

9

10

11

6

7

8

9

10

11

12

Therfore, there is a 2 in 36 (or 1 in 18) chance of rolling a total of 11.

When tossing 2 fair 6 sided number cubes what is the probability of tossing a sum of ten?

The first cube can land in any one of 6 different ways.

The second cube can land in any one of 6 different ways.

Together, they can land in any one of (6 x 6) = 36 different ways.

Sum of ten can come up in 3 different ways:

4 - 6

6 - 4

5 - 5

The probability of tossing a ten is (3/36) = 1/12 = 8-1/3 %

The probability for heart disease in a population is 30 percent the probability for the flu in the population is 50 percent the probability of getting both is 10 percent why or why not?

When determining the probability that two events happen at the same time, you convert the percents to decimals and then multiply the percents together. Therefore, 30 percent, or .3, times 50 percent, or .5

.3 x .5 = .15

Converting back into a percentage, the answer is 15% probability that you will get both. 10% is therefore incorrect.

Can parents be B pos and have a kid A B p?

No. If both parents are B+ then their children will be B+ (75%) or O+ (25%).

Would it be possible for one to use a gigabyte in one months time with a mobile laptop?

It depends on what you are doing. If you download a lot of movies or music or take a lot of pictures, you can use a gigabyte in a few hours or a day. If you do nothing but type up word documents on your computer, you might not have over a gigabyte of typed documents in a year's time. Yes, it is possible to use a Gigabyte a month, it is also possible to use a gigabyte an hour or a gigabyte a year, it just depends on what you do on your computer and how you are using it.

What is the formula for geometric probability?

If you have an experiment in which the probability of success at each trial is p, then the probability that the first success occurs on the nth trial is

Pr(N = n) = [(1 - p)^(n-1)]*p for n = 1, 2, 3, ...

How do you get the probability of 0?

The simplest way to get a probability of zero is to have an impossible event. For example, with a die (that's the singular of "dice") that has the numbers 1-6, getting each of these numbers has a probability of 1/6; getting the number has a probability of 0.There is another way to get a probability of zero, which occurs for certain situations that involve infinity; if you are prepared to read through some somewhat intense math, check the Wikipedia article on "Almost surely" for more details. (In this case, "almost surely" means a probability of 1; while "almost never" means a probability of 0.)

If three number cubes are rolled all at once how many ways can you get 2 of the same number?

I'm going to assume you mean standard dice, all three distinguishable, and exactly two of the same number.

First break the problem into smaller parts. First, determine the odds of getting the same number on the first two dice, and a different number on the third. Then just multiply this result by 3 and 216 to account for the first and last dice being the same, or the last two dice, then compute the total number of possibilities.

P(two dice being the same and last being different) = P(second die being the same as the first) * P(third die being different than the other two) = (1/6)(5/6) = 5/36

3*216*5/36 = 90 possibilities out of 216

What are the odds of getting a number graeater than 4 on a dice?

The chances of getting a number greater than 4 on a standard 6 face dice is a 2/6 chance which simplifies to a 1/3 chance. This is because their are only 2 numbers greater than 4.

How do your work out z score?

If a random variable X has a Normal distribution with mean M and standard deviation S, then

Z = (X - M)/S

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