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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 different ways can 4 winning tickets be selected from 40 tickets if ticket wins a different prize?

First ticket can be any of 40, second any of 39, third any of 38 and fourth any of 37 so 40 x 39 x 38 x 37 different ways which is 2,193,360.

Can you draw five new cards in a game of Five Card Draw poker?

Note that there are no Official Poker Rules. House Rules apply and there are big differences from casino to casino (or kitchen table to kitchen table). Swapping three cards is the most common, but in a lot of places swapping four cards and sometimes all cards is in the rules.

If you're playing a home game, you will have to decide amongst yourselves what to do. In my experience, you can draw any number of cards, between 0 and 5.

What is the probability that a single coin flip will come up heads on the first two flips?

The probability of heads on the first flip is 50%.

The probability of heads on the second flip is 50%.

The probability of both is (50% x 50%) = 25% .

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Another way to look at it:

Two tosses can come up in four different ways:

H H

H T

T H

T T

Only one of these . . . H H . . . counts as success.

1 out of 4 = 25% .

Is it possible to die from a swollen throat?

It is possible but not likely to die from a swollen throat.

How many ways can you arrange 18 coins?

If you are Canadian (no joke), there are 618(101559956668416) ways.

If you are american, there are 518(3814697265652) ways.

Hope this helps!

If an equation indicates addition in its presentation what do you do first?

Follow the order of operations; PEMDAS. PEMDAS is Parentheses, Exponents, Multiply, Divide, Add, & Subtract.

What is the probability of 2 drownings in a city of 200000?

It is impossible to answer the question because it is almost meaningless. How long for two drownings? Over a one minute interval the probability is likely to be 0 while if you wait a million years, the event is likely to be a certainty and so the probability is 1.

The answer also depends on the city. In a city that is a long way from a river or ocean it would be pretty low: mainly bathtub or swimming pool accidents. On the other hand in a city on the banks of a river that frequently floods the probability will be much higher.

What is the probability of rolling two fives on a number cube?

The probability of rolling two fives on a pair of dice is 1 in 36, or about 0.02778.

What is the probability of being born on Feb 29?

February 29 occurs 97 times in 400 years (not once in 4 years). Therefore, there are 97 favourable events out of 146,097 days which gives a probability of 0.00066 approx.

However, this assumes that birthdays are randomly spread over the course of a year. This is certainly not true, and February is "low season" for births so the true probability will be lower.

Can one have emotional desire for man and sexual desire for woman?

Yes. While emotional and sexual desire often go together they are by no means mutually exclusive.

What is the probability that two people selected from 30 have the same birthday?

To select the first birthday, the probability is 1/30. Having gotten that, the conditional probability that the next birthday would be the same is (1/30)x(1/29) and that is 1/870

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I believe the question has to be rephrased to "What is the probability that two people

in a group of 30 people share the same birthday?". Because in the way the question

is actually stated, "the probability that two persons selected randomly from a group of 30 have the same birthday", the event that "those two people would share their

birthday" is independent of the size of the population they were selected from.

In the case the actual question be "What is the probability that two people in a group

of 30 share the same birthday?, is given by the following expression that neglects

February 29 (of the leap), but gives very good approximation to the expression that

considers February 29 and is a simpler one. [It has to be mentioned that the analysis

leading to this expression considers birthdays a "random variable" where chances for

a persons birthday are the same for any day of the year]:

P(2 share bd out of n) = nC2 (1/365) Π1n-1[1-(i-1)/365]

for n = 30, P(2 share bd out of 30) = 30C2 (1/365) Π1 29 [1-(i-1)/365] = 435∙(1/365)∙

[1-1/365]∙[1-2/365]∙[1-3/365]∙ ∙∙∙ ∙[1-28/365] = 0.380215577... ≈ 0.380 ≈ 38.0%

For the construction of the expression to calculate the probability of any two people sharing a birthday in a group of n people considering Feb 29 of the leap year see the

question "What is the probability that in a room of 8 people 2 have the same birthday?"

What does probability do?

Probability tells you the chance that something will happen.

For example:

There are 3 red tiles, 5 green tiles and 2 pink tiles in a bag. What is the probability of picking a red tile?

First you find out how many red tiles there are. There are 3 red tiles. Then, you add up all the tiles. Altogether there are 10 tiles. So, there is a 3/10 probability that you will pick a red tile.

A number that describes how likely it is that an event will occur?

Probability (P) of the Event (E).

To obtain the probability, use the formula P(E) =

No. of trials when event occuredTotal No. of trials

Where 'trial' refers to doing something to observe the outcome e.g. tossing a coin.Outcome may refer to (in that case) getting Head or Tail. Don't listen to the person who wrote this. He/She is 100 percent wrong.

How do you find the raw score when you don't have the z score?

Go back to the basic data, estimate the sample mean and the standard error and use these to estimate the Z-score.

Who invented probability?

Probability was invented by Blaise Pascal.

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