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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

Is nearly all the area under the normal curve between z-3.00 and z3.00?

yes, since according to the 68-95-99.7 rule, the area within 3 standard deviations is 99.7%

A jar contains 8 red marbles 9 blue marbles and 6 green marbles Two marbles are picked at random What is the probability that one is green and one is blue?

Without replacement:

P(one green and one blue) = P(drawing green then blue) + P(drawing blue then green)

= (6/23)(9/22) + (9/23)(6/22) = 104/506 = 52/253

With replacement:

P(one green and one blue) = P(green)*P(blue) = (6/23)(9/23) = 54/529

How do you calculate propability of a deck of cards?

The probability is the likely outcome of a random event. In this example - picking (say) the Ace of Spades - the chances are 1 in 52. Drawing a red card is 1 in 2, drawing a Spade is 1 in 13 etc.

The probability of drawing every card in order from a pre-written list is approximately 1 in 8 x 1067 !

What would be an event with a probability of happening less than 1 in 1000000 but greater than zero. The probability of your given event needs to be verifiable?

Well, I guess the only way to "verify" such a probability would be to repeat the corresponding experiment millions of times.If you repeat a coin flip, or a die toss, sufficiently often, the combined probabilities increase exponentially. For instance, if you flip a coin, the probability to get heads is 1/2; if you flip the coin 20 times, and specify that you want heads EACH AND EVERY TIME, then the combined probability is, of course, 1/2 to the power 20 - or a bit less than one-millionth.

Similarly, you can toss a die sufficiently often - to figure out how often, just solve the inequality:

1/6 to the power x < 0.000001

Since you want a whole number, you can just try out a few numbers.

How do you do probability of independent events?

The answer depends on what you mean by "do". Does it mean calculate individually, calculate the probability of either one or the other (or both), calculate the probability of both, calculate some function of both (for example the sum of two dice being rolled)?

What are the odds of a child having the same birthday as parents?

I believe the chances of having the same birthday as one of your parents is:

1 out of 183

and the chances of having the same birthday as both parents is:

1 out of 133,225

In basic statistics what is sample size and effective sample size?

sample size refers to the collection of data by only a selected size of te population through the process of sample surveys and sampling methods used in collecting data.

When two dice are rolled find the probability of getting a 3 or less?

To get a three or less, you would need to roll a one on one die, and either a one or two on the second die. Since each face has a 1 in 6 probability, this gives:

P(3 or less on two dice) = ( P(1 on first die) * P(1 or 2 on second die) ) + ( P(2 on first die) * P(1 on second die) ) = (1/6 * 2/6) + (1/6 * 1/6) = 3/36, or 1/12.

P(3 or less on two dice) = 1/12

And yes, the singular of "dice" is "die". Stop changing it. Thanks.

What are the odds of a number less than 2 when rolling a die?

well, since on a die only 1 is less than two, the probability is 1/6, or .16666...

What could be wrong if you have bleeding from the urethra sometimes when wiping and have had cramping that comes and goes but no blood shows up in a urinalysis and it's always gone when you see the dr?

Do more tests and go to a urologist. Could be urinary tract infection prompted by something your taking or doing. It could be as simple as wiping too hard. Take it easy and move to a softer tissue. But get a second opinion.

What are the chances of not picking ace out of 52 cards?

There are four Aces in a standard deck of 52 cards. The probability, then, of not drawing an Ace is (52 - 4) in 52, or 48 in 52, or 12 in 13, or about 0.9231.

What are all the ways to combine 1 2 3 4 5 6 7 8 9 0 in 4 digits?

Digit 1 = 10 choices (0,1,2,3,4,5,6,7,8,9)

Digit 2 = 10 choices (0,1,2,3,4,5,6,7,8,9)

Digit 3 = 10 choices (0,1,2,3,4,5,6,7,8,9)

Digit 4 = 10 choices (0,1,2,3,4,5,6,7,8,9)

Number of combinations = 10 x 10 x 10 x 10 = 104 =10000