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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

If You flip 9 fair coins Amazingly the first 8 flips all come up heads What is the probability that the final flip will be a head too?

1/2 apex

It does not matter what each prior flip's result was. Each flip has a probability of 0.5 heads or tails. Coins do not have "memory".

The gao standards fall within which of the following five areas?

Control environment, risk assessment, control activities, information/communication, & monitoring

How many different ways can you arrange the letters in number?

Assume you have 6 spots shown below:

_ _ _ _ _ _

In the first spot, you have 6 letters to choose from. In the second spot, you have 5 letters to choose from because you already used one. Similarly, in the remaining spots, you will have 4, 3, 2, and 1 letters to choose from. So you have 6 choices * 5 choices * 4 choices * 3 choices * 2 choices * 1 choice = 720 possibilities

Is a 6 sided die likely to land on an odd or even number?

Neither. Because there are six sides to a die, every time you toss the die, it has a 1/6 chance of coming up 1,2,3,4,5, or 6. Plus there is an equal number of odd and even numbers, so you would have a 50% chance of getting an odd or an even number every time you roll the die.

What is the probability of drawing two aces in a row from a full deck?

The probability of drawing one ace from a deck of 52 cards is 13 to 1 as there are 4 aces in a deck of 52 cards.

The probability of then taking another ace is then 17 to 1 as there are now 3 aces in a deck of 51 cards.

The total probability for the two events in succession would now be:

(13 x 17) to (1 x 1) which is 221 to 1.

How do you take off an spinner from an fan?

To remove a spinner from a fan, first ensure the fan is unplugged for safety. Locate the screws or clips that secure the spinner to the fan's motor shaft; these may be hidden under a decorative cover. Use a screwdriver or your hands to carefully detach the spinner, taking care not to damage any components. Once removed, you can clean or replace the spinner as needed.

How do you calculate the mean and variance of a poisson distribution as a function of time t?

Divide the total number of incidents by the total time. The result, representing the average number of incidents per unit of time, is the mean as well as the variance of the Poisson distribution.

What is the probability of pulling a spade from two decks of cards?

there's 13 spades in a standard deck but since we're talkin' two decks.. there's 26 spades out of 104 cards.. so you do 26/104 which reduces to 1:4 aka the probability

What is the symbol for standard error?

It is the lower case sigma, s, from the Greek alhphabet.

It is the lower case sigma, s, from the Greek alhphabet.

It is the lower case sigma, s, from the Greek alhphabet.

It is the lower case sigma, s, from the Greek alhphabet.

How did the event occur?

The event occurred due to a combination of factors, including specific circumstances leading up to it and key decisions made by individuals involved. External influences, such as environmental conditions or social dynamics, also played a significant role. Ultimately, a sequence of actions and reactions culminated in the event, highlighting the interconnectedness of various elements at play.

How early can I find out if I am having a boy or a girl?

Usually the doctor does not doa sonogram until you are apprx. 20 weeks along. They can, if you are lucky, find out then! But sometimes baby's do not allow them to by simply not showing them! My Dr. had no problem telling me what my daughter was and they were right! My best friend and sister are pregnant right now and are both having girls. My sister had no problems finding out what she was having but at my best friend's sonogram we were trying so hard to know and the baby had her legs X'ed in front of what we needed to see! So while there is no guarantee you will see it for sure, 20 weeks is your best bet! If not other tests can tell you for sure but they are usually only done under bad circumstances such as amniocentesis' and such. Good luck on your sonogram! Oh, and I do believe that most practices give women 2 sonograms... one around 20 weeks and one around 30 weeks or so and maybe they will tell you there if the one at 20 weeks doesn't pan out!! Pam

How many possible outcomes are there when 4 fair coins are tossed at once?

If you know which coin is which, there are 16possible outcomes.

If you're only counting the number of Heads and Tails, there are 5 .

What is a biased coin in probability?

Probability of getting a head or tail is not equal

How many different passwords can be made out of 4 different uppercase letters?

The number of permutations of 26 things taken 4 at a time is 26 factorial minus 4 factorial, or 358,800.

By the way, in this day and age, that would be an extremely weak password.

How many ways can you rearrange the letters in the word function?

In the word "function" you have 8 letters. 6 different letters and 2 equal letters.

The number of different arrangements that are possible to get are:

6!∙8C2 = 720∙(28) = 20 160 different arrangements.

Define the 4 scales of measurements?

The first is Nominal. It is data that iscategorized and can't be arranged in an order from low to high; e.g. answer a question yes or no, colors of cars in a parking lot, race and gender. The second is Ordinal. It is data that is categorized and can be arranged in an order from low to high, but differences can not be determined, or are meaningless; e.g. grades A, B, C, D, E or grade levels 9th, 10th, 11th, 12th, or survey type questions such as do not like, somewhat like, like, love; or another is movie ratings. The third is Interval. It is the ordinal scale, but with the additional property that the difference is meaningful between the data, but does not have a natural zero starting point; e.g. the years (2009, 2000, 1610, etc), the temperature scale (50, 68, 90, oF etc). The fourth is Ratio. It is the interval scale, but with the additional property that it does have a natural zero starting point. Money and weight are examples; 0 money means you have none, and $4.00 is 2 X $2. Likewise with weight; no weight means there is none and 4 pounds is 2 x 2 pounds; the same analogy applies with height.

How many possible outcomes can you get from rolling two number cubes?

Depends on how many numbers are on each cube. Say one has m numbers and the other has n numbers, you can get mxn outcomes.

* * * * *

This could get rather complicated!

By definition, a cube has only six faces and so each die can have only six numbers on it. BUT, these numbers need not all be different.

If they are all different then m = n = 6 and there are 36 outcomes in all.

More generally, a single die can have

6 outcomes (6 numbers each appearing once)

5 outcomes (4 numbers singly and 1 pair)

4 outcomes (3 numbers singly and 1 triple or 2 singles and 2 pairs)

3 outcomes (2 singles and 1 quartet or 1 single and 1 pair and 1 triple or 3 pairs)

2 outcomes (1 single and 1 quintet or 1 pair and 1 quartet or 2 triplets)

1 outcome (1 sextet).

So m can have any of the six values 1,2,3,4,5,6. And similarly, so can n.

And therefore, m*n can have the following values:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 12, 15, 16, 18, 18, 20, 24, 25, 30, 36.

What are the odds of rolling doubles with one die in 25 rolls?

I'm going to assume you mean rolling the same number twice in a row in 25 rolls. The first won't cause a double, so you just need to consider the odds of rolling the same number as the last for the last 24 rolls. The easier approach is to realize that the probability of rolling at least one double is 1 minus the probability of rolling no doubles. One roll has this probability of not rolling the same as the last:

P(different number from last) = 5/6

Since they are independent events:

P(no doubles in 25 rolls) = (5/6)24

Now the final probability, of at least one double, is 1 - (5/6)24

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