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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

What does it mean if the mean is doubled but the standard deviation is the same?

The second set of numbers are less variable; the coefficient of variation is halved.



The second set of numbers are less variable; the coefficient of variation is halved.



The second set of numbers are less variable; the coefficient of variation is halved.



The second set of numbers are less variable; the coefficient of variation is halved.

Drawing a heart from a deck of cards?

There are only 4 suits in an ordinary deck of playing cards. The probability of drawing a heart is 1 in 4, or 0.25.

When two dice are rolled find the probability of getting a 4 or a 10?

When you roll a dice you have these combinations

Die 1:

1 2 3 4 5 6

Die 2:

1 2 3 4 5 6

it can go:

1,1

1,2

1,3

1,4

1,5

1,6

2,1

etc.

which leads to 36 total situations

the only ways to get a 4 are:

1,3

3,1

2,2

2,2

so 4/36

the only ways to get a 10 are:

4,6

6,4

5,5

5,5

4/36

so your chances of 4 or a 10

are 4/36 + 4/36

= 8/36

= 4/18

= 2/9

What questions are asked in the four-way test of the ethical implications of a potential action?

Is the decision truthful?Is it fair to all concerned?Will it build goodwill and better friendships?Will it be beneficial to all concerned?

How many outcomes are possible if you spin the spinner 3 times?

You need to know how many outcomes you have. Is the spinner composed of colors, numbers, names? What categories does the spinner have?

What is the probability that on 4 flips of a coin 3 will be heads and1 will be tails?

There are 16 permutations of a coin tossed 4 times. They are ...

HHHH - HHHT - HHTH - HHTT

HTHH - HTHT - HTTH - HTTT

THHH - THHT - THTH - THTT

TTHH - TTHT - TTTH - TTTT

... and the permutations with only one tail are bolded. There are 4, so the probability of flipping a coin 4 times and getting only 1 tail is 4 in 16, or 1 in 4, or 0.25.

The coin does not have a memory therefore the probability is always 50/50.

What is the probability of six?

The answer will depend on what the experiment is: rolling a die, spinning a spinner, the number of times someone will lose before they win (or the converse), the number of rooms in a house, or whatever. Since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

What are the formulas for Theoretical Probability?

There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.

What is decrease of probability?

the probability of gatting a head from a normal coin is

Can a binomial experiment be used to find the probability of 4 outcomes of .20 and 16?

If the question is about 4 successful outcomes out of 16 trials, when the probability of success in any single trial is 0.20 and independent of the outcomes of other trials, then the answer is, yes, the binomial experiment can be used.

What is the probability of getting a sum of 5 if two dice are tossed 120 times?

Prob(5 in a throw of two dice) = 5/36Prob(Not 5 in a throw of two dice) = 1 - 5/36 = 31/36


Prob(Not 5 in 120 throws) = (31/36)120= 0.000 000 016

and so

Prob(5 in 120 throws) = 1 - Prob(Not 5 in 120 throws) = 0.999 999 984




Prob(5 in a throw of two dice) = 5/36Prob(Not 5 in a throw of two dice) = 1 - 5/36 = 31/36


Prob(Not 5 in 120 throws) = (31/36)120= 0.000 000 016

and so

Prob(5 in 120 throws) = 1 - Prob(Not 5 in 120 throws) = 0.999 999 984




Prob(5 in a throw of two dice) = 5/36Prob(Not 5 in a throw of two dice) = 1 - 5/36 = 31/36


Prob(Not 5 in 120 throws) = (31/36)120= 0.000 000 016

and so

Prob(5 in 120 throws) = 1 - Prob(Not 5 in 120 throws) = 0.999 999 984




Prob(5 in a throw of two dice) = 5/36Prob(Not 5 in a throw of two dice) = 1 - 5/36 = 31/36


Prob(Not 5 in 120 throws) = (31/36)120= 0.000 000 016

and so

Prob(5 in 120 throws) = 1 - Prob(Not 5 in 120 throws) = 0.999 999 984


What does dependent mean?

dependent means that a person depends on other person. e.g:-a child depends on his/her parents

What are the advantages of the Segway?

It offers increased mobility for those with disabilities, but could also aid some persons who are unable to walk long distances. The machine operates on a principle called dynamic stabilization.

What does mutually exclusive events mean?

It means that if one of the events happens the other cannot.

How many ways can you arrange the letters of the word full?

To mathematically solve this:


Four letter word: n = 4

One F: L1 = 1

One U: L2 = 1

Two L's: L3 = 2


For the next step, you need to know what a factorial is. A factorial (n! - you'd say "n factorial") can be simply described as the product of that integer by all integers lower than it down to 1.


Example

5! = 5 x 4 x 3 x 2 x 1 (start with 5 and go all the way down to the optional 1)


We're going to be dividing the length factorial by each letter factorial:

n! / ( L1 x L2 x L3 )

4! / ( 1! 1! 2! ) = ( 4 x 3 x 2 x 1 ) / ( 1 x 1 x 2 x 1 ) = 4 x 3 = 12


With such a short word, it's easy enough to list the combinations. I'll do this so you can verify the answer. Breaking into cases always makes this easier.


Start with F:

FULL

FLUL

FLLU


Start with U:

UFLL

ULFL

ULLF


Start with L:

LUFL

LFUL

LLUF

LLFU

LULF

LFLU


There are 12 combinations, because you treat both L's as the same character.