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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 a coin is tossed 8 times what is the probability that it will land on heads exactly four times?

You can use a tree diagram or a binomial:

I choose a binomial:

8!/(4! * 4!) * .5^4 * .5 ^ 4

70 ways 8 flips can end in 4 v 4, * chance of 4 heads, * chance of 4 tails = .2734375 ~ 27.34 percent.

What is probability you will pull a spade if you've already pulled a jack?

Since you didn't specify the suit of the jack, there are two possible answers. If the jack was a spade, the probability of drawing another spade is 12/51 or 23.5%. If the jack was NOT a spade, the probability of drawing a spade is 13/52 or 25%.

What is a chance event?

It is a probability from 1 that it will happen to 0 that it will not happen

What are the odds of rolling less that a 4 when rolling a die once?

if you rollid a die once the odds of getting less than four would be 3/6 or 50%.

What is the probability of rolling a 1 with six dice?

The probability of rolling at least one '1' with six dice is 66.5% [1-(5/6)^6]*100%

What is the probability you will roll two prime numbers on a dice?

It is a certainty - if you roll the die often enough. And on one roll it is impossible. Unfortunately you have chosen not to specify how many times the die is rolled, and without that crucial bit of information, it is not possible to give a more helpful answer.

How many arrangements can be madefrom the letter art?

The letters of the word "art" can be ordered in 6 ways.

What is the probability of a independent event is going to happen?

If it's an independent event then it's probability does not depend on preceding events. For example, if I flip a coin twice the probability that the coin will show 'heads' the second time is independent of what happened the first time; it's just 1/2.

If the cards are numbered from 1 to 8 what is the chance of picking a 6 from the box?

The answer depends on how many sets of 1-8 numbered cards are in the box, how many are drawn and whether or not they are replaced after drawing.

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