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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.

500 Questions

How many permutations of letters in word swimming?

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The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.

What is probability crm?

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Probability CRM is a comprehensive software solution that combines professional services and CRM integration to help businesses manage their customer relationships more effectively. It allows businesses to track sales opportunities, analyze customer data, and streamline their sales processes for improved efficiency and productivity. It offers a user-friendly interface, customizable dashboards, and robust reporting tools to provide a complete overview of customer interactions and sales performance. Probability CRM is tailored to enhance customer relationship management and drive business growth through data-driven insights and strategic decision-making.

Why surveys and polls are good examples of finding probabilities?

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because they can help you find your right answer

If you draw a card from a normal deck of cards what is the probability that you will draw an even number or red card?

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The question asks for the probability of an even card OR a red card. The term "OR" is key since this is not the same as the probability of drawing an even card and a red card, that is to say an even red card. GIven any two events, A and B P(A or B)=P(A)+P(B)-P(A and B) IF A and B are mutually exclusive, then P(A and B)=0 and this equation becomes P(A)+P(B) However, they are NOT in this case. So let A be the probability the card is even and B the probability it is red. P(A)=20/52 since J, K and Q are neither even nor odd (20=(52-12)/2)) P(B)=26/52 since half the cards are red. P(A and B) is the probability that a card is red AND even. We have 20 even cards, half of them are red and half are black so the odds are 10/52 of being red and even. P (A or B)=20/52+26/52-10/52=9/13

How many ways can you arrange 36 ducks in rows?

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You can have:

1 row of 36

2 rows of 18

3 rows of 12

4 rows of 9

or 6 rows of 6, so in total there are 5 ways.

What is the probability of being born in August?

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Let me give you a simple answer first and two deep answers next.

Simple answer is, assuming that all months have the same number of days (which is very approximately true), 1/12.

If you want a slightly deeper answer, then 31/365 or 31/366 is correct, depending upon whether the year is a normal year or a leap year.

The correct answer, which might be argued as "philosophical", is as follows:

The Gregorian calender, the current standard calender in most of the world, adds a 29th day to February, 97 years out of 400, a closer approximation than once every four years. This would be implemented by making a leap year every year divisible by 4 unless that year is divisible by 100. If it is divisible by 100 it would only be a leap year if that year was also divisible by 400.So, in the last millennium, 1600 and 2000 were leap years, but 1700, 1800, and 1900 were not. In this millennium, 2100, 2200, 2300, 2500, 2600, 2700, 2900 and 3000 will not be leap years, but 2400 and 2800 will be. The years that are divisible by 100 but not 400 are known as "exceptional common years". By this rule, the average number of days per year will be 365 + 1/4 - 1/100 + 1/400 = 365.2425.In 400 years, thereforethere are 303 normal years and97 leap yearsTotal number of days in 303 years110,595 days(normal years)Total number of days in 97 years35,502 days(leap years)Total number of days146,097 daysTotal number of August months400(in 400 years)Total number of days in August in12,400400 yearsProbability that a person is 0.084875 or 1 in11.78202born in August (=12,400 / 146,097) or 31 in365.24251 / 12 =0.08333331 / 365 =0.08493231 / 366 =0.084699

There are assumptions in the above answer as well. These are

1. That all days in a year have the equal probability (which is not strictly true, as records of births will be required for verification)

2. The Gregorian calender has been in effect since 1700s. The probability as above will only work for years after the introduction of Gregorian calender.

Why t-distributions tend to be flatter and more spread out than normal distribution?

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T-distributions tend to be flatter and more spread out than normal distributions due to their heavier tails. Unlike the normal distribution, which has thin tails, t-distributions account for uncertainty in sample variance estimation, making them more robust for smaller sample sizes. The additional variability inherent in t-distributions arises from the incorporation of the sample size through the degrees of freedom parameter. As the degrees of freedom decrease, the t-distribution becomes more spread out and flatter, reflecting increased uncertainty and variability in the estimates. This property makes t-distributions well-suited for inferential statistics, particularly when dealing with small sample sizes.

Where can one purchase a rolling tote bag?

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There are a number of retailers from where a rolling tote bag can be purchased. These retailers include The Find, Smart Crafts, Amazon and Marks and Spencer.

What is the probability of a number less than 6 on the number cube followed by a number equal to 6 on the spinner?

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The probability is

(5 times the number of 6s on the spinner/6 timesthe total number of different positions on the spinner)

A die is rolled what is the probability that the die will show 4 5 or 6?

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Asked by Wiki User

Assuming the die to be a cube, with each face having a number 1,2,3,4,5,6.

Since there are 6 digits in total and only three are selected .

The P(4,5,6) = 3 / 6 = 1/2 = 0.5

What is every combination of a 4-digit number using the numbers 1234567890?

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Asked by Wiki User

There are 210 of them and they are:0123, 0124, 0125, 0126, 0127, 0128, 0129, 0134, 0135, 0136,

0137, 0138, 0139, 0145, 0146, 0147, 0148, 0149, 0156, 0157,

0158, 0159, 0167, 0168, 0169, 0178, 0179, 0189, 0234, 0235,

0236, 0237, 0238, 0239, 0245, 0246, 0247, 0248, 0249, 0256,

0257, 0258, 0259, 0267, 0268, 0269, 0278, 0279, 0289, 0345,

0346. 0347, 0348, 0349, 0356, 0357, 0358, 0359, 0367 ,0368,

0369, 0378, 0379, 0389, 0456, 0457, 0458, 0459, 0467, 0468,

0469, 0478, 0479, 0489, 0567, 0568, 0569, 0578, 0579, 0589,

0678, 0679, 0689, 0789, 1234, 1235, 1236, 1237, 1238, 1239,

1245, 1246, 1247, 1248, 1249, 1256, 1257, 1258, 1259, 1267,

1268, 1269, 1278, 1279, 1289, 1345, 1346, 1347, 1348, 1349,

1356, 1357, 1358, 1359, 1367, 1368, 1369, 1378, 1379, 1389,

1456, 1457, 1458, 1459, 1467, 1468, 1469, 1478, 1479, 1489,

1567, 1568, 1569, 1578, 1579, 1589, 1678, 1679, 1689, 1789,

2345, 2346, 2347, 2348, 2349, 2356, 2357, 2358, 2359, 2367,

2368, 2369, 2378, 2379, 2389, 2456, 2457, 2458, 2459, 2467,

2468, 2469, 2478, 2479, 2489, 2567, 2568, 2569, 2578, 2579,

2589, 2678, 2679, 2689, 2789, 3456, 3457, 3458, 3459, 3467,

3468, 3469, 3478, 3479, 3489, 3567, 3568, 3569, 3578, 3579,

3589, 3678, 3679, 3689, 3789, 4567, 4568, 4569, 4578, 4579,

4589, 4678, 4679, 4689, 4789, 5678 ,5679, 5689, 5789 and 6789.


What is the approximate probability that a human offspring will be female?

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Asked by Wiki User

P(female offspring) = 0.5 = 1/2

Reason,

In the human genetic system, a male has 'XY' chromosomes

A female has 'XX' chromsomes. I will designate the femle chromosomes as X' & X" to distinguish .

Hence Male is XY

Female is X'X"

They can match in the following manner.

XX' = female

XX" = female

YX' = male

YX" male.

So you can see that there are two female outcomes and two male outcomes, out of a total of four(4) possible outcomes.

So 2/4 = 1/2 = 0.5 in both cases.

Hence P( female outcome) = 0.5

NB In reality, with a deeper understaning of statisitical and genetic analysis, slightly more females are born that males. Also males are slightly weaker at birth, there by making males less likely to survive at birth. This difference is only about M:F :: 49% : 51% , so equality of numbers remains roughly equal.

How many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize?

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Asked by Wiki User

Q9. How many different ways can 4 tickets be selected from 50 tickets if each ticket

wins a different prize.

What is the probability of drawing a black 7 from a standard 52-card deck?

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Asked by Wiki User

Probability of drawing a black 7 from a standard 52-card deck is 2/52 or 1/26.

A surgical technique is performed on twelve patients. You are told there is 70 chance of success. Find the probability that the surgery is successful for exactly 9 patients.?

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Asked by Wiki User

To find the probability that exactly 9 patients are successful, we can use the binomial probability formula. The formula is P(x=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, and p is the probability of success. Plugging in the values, we have P(x=9) = (12 choose 9) * 0.7^9 * (1-0.7)^(12-9). Calculate this expression to find the probability that exactly 9 patients are successful.

Why can a function not be a probability mass function?

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A function cannot be a probability mass function (PMF) if it violates the properties of a PMF. A PMF must assign a non-negative probability to each possible outcome of a discrete random variable, and the sum of probabilities for all possible outcomes must be equal to 1. If a function does not satisfy these properties, it cannot be considered a PMF.

What is the probability of throwing just one one with two dice?

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The probability of throwing just one one with two dice can be calculated by considering the different ways it can occur. There are two ways to get one one: rolling a one on the first die and any number on the second die, or rolling any number on the first die and a one on the second die. There are a total of 36 possible outcomes when rolling two dice, so the probability is 2/36, which simplifies to 1/18.

What is called probability that is based on repeated trials of an experiment?

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The probability that is based on repeated trials of an experiment is called empirical or experimental probability. It is calculated by dividing the number of favorable outcomes by the total number of trials conducted. As more trials are performed, the empirical probability tends to converge to the theoretical probability.

Can probability be expressed as a percent?

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Yes, probability can be expressed as a percent. It is common to express probabilities as a percentage, which is calculated by multiplying the probability by 100. For example, if the probability of an event is 0.25, it can also be expressed as 25%.