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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 you prefer Normal Distribution over the other distributions in Statistics?

For theoretical reasons (such as the central limit theorem), any variable that is the sum of a large number of independent factors is likely to be normally distributed. For this reason, the normal distribution is used throughout statistics, natural science, and social science as a simple model for complex phenomena.

Sir names 1st Senior second Junior third the third when is it ever the second?

I am a 2nd and not a junior. I have the same name as my Grandfather. If I were to have the same name as my father I would be a junior. If I give my son the same as myself he would be a junior and a 3rd.

What is the chance of being shot by a random gunman?

Pretty slim in the US or most of Europe and Asia. If you are in Africa or the Middle East you would have a significantly higher risk. Still relatively small though, you're much more likely to die in a car acccident than from a random gunman.

Why are random samples more representative of the population than other kinds of samples?

A 'random' sample - covers all age groups, genders, and other criteria. A 'targeted' sample might only cover a small part of the population.

What is the probability of drawing 2 aces from a 52 card deck?

Let A= getting an ace the first time

and B= getting an ace the second

We are looking to for the probaliity of getting A and B that is P(A and B)

We know P(A and B) = P(A) . P(B|A)

= (4/52) . (3/51) = 1/122 = .00452

NOTE that P(B|A) is the conditional probability of getting an ace the second time given that you got an ace the first time.

What is the probability that a woman get pregnant even if premenstrual syndrome had already occurred?

Your risk of getting pregnant is the same as any other time when you are fertile. Unless you are menopausal or pregnant, you have a chance of becoming pregnant from having sex.

What is the probability of drawing a red number card from a deck of cards?

13 out of 52.

_____________________

It should be 20 out of 52 if Ace is included as a number card.

Not including ace the probability is 18 out of 52.

What is the probability of rolling a 5 or 6 on a die?

1 out of six for both five and six well that's for the original die wich is 1 of each number from 1 to 6 it depends how many sides it has

What is the probability of drawing a king or a 9 from a standard 52 card deck of cards?

The probability of drawing a king or a nine from a standard deck of 52 cards is (4 + 4) in 52, or 8 in 52, or 2 in 13, or about 0.1538.

Maria keeps her four stuffed bears lined up on a shelf over her bed how many arrangements of the bears are possible?

The answer is 4! (4 factorial), the same as 4x3x2x1, which equals 24 combinations.

The answer is 24 and this is how:

A b c d

A b d c

A c d b

A c b d

A d c b

A d b c

B c d a

B c a d

B d a c

B d c a

B a c d

B a d c

C d a b

C d b a

C a b d

C a d b

C b d a

C b a d

D a b c

D a c b

D b c a

D b a c

D c a b

D c b a

Find the probability that 1 of the first 4 batters gets a hit if the probability of getting a hit is 240?

Probability is a number in the range [0, 1]. The question gives a probability (240) which is way outside this range and so is not valid.

99 percent confidence interval Population mean 24.4 to 38.0 find the mean sample?

if the confidence interval is 24.4 to 38.0 than the average is the exact middle:

31.2, and the margin of error is 6.8