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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 conditional probability is different from common probability?

Conditional probabilities arise when you revise the probabilities previously attached to some events in order to take new information into account. The revised probabilities are 'conditional on the new information you have received'.

If you get red card will you be able to play the nextr match?

That depends on your league's rules. Many leagues give a one-game minimum suspension to any player who is sent off.

What is the definition of expected outcome?

The expected outcome of an experiment, where the outcomes have discrete values, is the sum of the values of each outcome multiplied by the probability of that value occurring.

For continuous variables, it is the integral of each value multiplied by the probability of that value being attained.

The expected value for a variable is the [arithmetic] mean for that variable.

Note, though, that the arithmetic mean may be unrealisable. For example, the expected value for the roll of a fair die is

1*(1/6) + 2*(1/6) + 3*(1/6) + 4*(1/6) + 5*(1/6) + 6*(1/6) = 21/6 = 31/2. And no matter how hard you try, you will not roll 31/2! What the expected value says is that, if you roll the die many times, the average of all the values that you get will be approximately 31/2.

How many of the possible outcome include the letter f?

There is insufficient information in the question to properly answer it. You did not specify what kind of input sets are involved. Please restate the question.

What is the probability of choosing an odd number?

If you have an equal amount of odd and even numbers in a determined sample space, the probability of choosing and odd number is 1/2 (.5).

What if you flip a quarter and it lands on its side standing up?

then that means that if your deciding on something than the coin wont choose you have to choose

What is the definition of experimental probability?

Experimental Probability: The number of times the outcome occurs compared to the total number of trials.

example: number of favorable outcomes over total number of trials.

Amelynn is flipping a coin. She finished the task one time, then did it again. Here are her results: heads: three times and tails: seven times. What is the experimental probability of the coin landing on heads?

Answer: 3/10

Explanation: Amelynn flipped the coin a total of 10 times, getting heads 3 times. Therefore, the answer is: 3/10.

What are the number of permutations of the letters of the word MATH?

For the first letter, you can choose any of the four.

For the second letter, you can choose any of the remaining three.

For the third letter, you can choose either of the remaining two.

For the fourth letter, you don't get a choice, you have to use the one that's left.

So 4x3x2x1 = 24 possible permutations.

What happens if you install a PCIe Version 1x card in a PCIe Version 2.0 slot the slot?

Witchcraft!

No, in all actuality it will work completely fine, as long as they are both indeed PCIe. You should be good to go!

What is the setting of shadow spinner?

"Shadow Spinner," a novel by Susan Fletcher, is set in medieval Persia during the time of the legendary storyteller Scheherazade. The story unfolds primarily within the confines of the Sultan's palace, where the protagonist, Marjan, navigates a world filled with intrigue, danger, and the art of storytelling. The rich cultural backdrop of ancient Persia, with its vibrant markets and contrasting opulence, serves as a critical element in shaping the characters and their journeys.

When Tina says 3 then Jay says 10 When Tina says 5 then Jay says 16 When Tina says 9 then Jay says 28 if Tina says 8 what will Jay say if Jay says 1 what will Tina say?

There are infinitely many possible solutions. The simplest, though, is Jay = 3*Tina + 1.

So if Tina says 8 Jay says 25

and Jay says 1 when Tina says 0.

What is the probability you will win a Powerball-like lottery if you buy 10 tickets The lottery consists of drawing 5 balls from a set of balls numbered 1 to 40 and then drawing one ball from a set o?

Assuming the last ball is from a group of 40, and the first 5 are selected without replacement:

for 1 ticket P = 1/ (40x(40x39x38x37x36)/(1x2x3x4x5)) = (39x38x37x36) = 1/78,960,960

Assuming none of the 10 are repeats

your ans is 10 x 1/78,960,960 = 1/7,896,096

rounding you have 1 chance in 8 million to win.

How many distinct ways can the letters in immunology be arranged?

The word "immunology" consists of 11 letters, with the following counts of distinct letters: i (1), m (2), u (1), n (2), o (1), l (1), g (1), y (1). To find the number of distinct arrangements, we use the formula for permutations of multiset:

[ \frac{11!}{2! \times 2!} = \frac{39916800}{4} = 9979200. ]

Thus, there are 9,979,200 distinct ways to arrange the letters in "immunology."

Whats the difference between semen and sperm and how likely will it make you pregnant?

I just read that there is an 85% chance of pregnancy

Other answers:

Semen is the general term for the off-white fluid that is ejaculated at orgasm. Sperm are the reproductive cells that are in the semen. The sperm cells are what cause pregnancy. Under normal circumstances, semen always contains sperm cells.

A stats teacher told me years ago that all probabilities are 50-50. Either an event will happen, or it won't.

Your stats teacher took too large a view of things. The probability of an event occurring has a direct correlation to the number and frequency of the variables that affect it. Not everything is 50-50. If I never ride in an airplane, the probability of me dying in an air crash is not 50% - it's 0%.

As far as the original poster is concerned, the PROBABILITY of pregnancy is related to the amount (e.g., Number of) of healthy sperm cells in the vagina and the proximity of a fertile egg. Assuming the OP is female, if she has sex with one guy a week after her period ends, her probability of pregnancy is much lower than if she has sex with 20 guys at the time of ovulation.

Multiple choice question of taxation law of Australia?

Elizabeth owns and operates a furniture store where she buys new and used furniture to on-sell to the public. On 1August 2012 she purchased an ornate display cabinet for $10000 as an item of trading stock. She put the cabinet in her showroom and it had a sale price of $14900. However she liked the item so much that she decided to use it for personal purposes from 1 October 2012 when the replacement price was $12600. What are the tax consequences of using the item for personal use?

Elizabeth will include $10000 in her assessable income.

Elizabeth will include $4900 in her assessable income.

Elizabeth will include $2600 in her assessable income.

Elizabeth will include $14900 in her assessable income.

Elizabeth will include $12600 in her assessable income.