Q: What is the probability of rolling 2 dice total under 7 with 1 dice being 3?

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There is insufficient information in the question to properly answer it. "Getting a number under five doing what?" rolling dice? turning a spinner? drawing a card? Please restate the question.

Pretty good. A single die has six sides and they are normally numbered 1 to 6. Since all values are under 7, their is a 100 percent probability of rolling less than 7.

1.

P(A)=1-(A)

The area under the pdf between two values is the probability that the random variable lies between those two values.

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Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.

There is insufficient information in the question to properly answer it. "Getting a number under five doing what?" rolling dice? turning a spinner? drawing a card? Please restate the question.

Please see the link under "legitimate probability density function".

Pretty good. A single die has six sides and they are normally numbered 1 to 6. Since all values are under 7, their is a 100 percent probability of rolling less than 7.

It is 36/9702 = 0.0037 approx.

"Under the boardwalk" was originally performed by The Drifters. Wikipedia does not mention its being performed by the Rolling Stones.

Rolling refers to being under the influence of Ecstacy, since the sensations caused by the drug tend to come on in "waves". Many people refer to Ecstasy as "rolls".

one

Because the area under the curve is a probability and probabilities range from 0.00 to 1.00 or could also be written as 0% to 100%

It is assumed that by "shape" you mean "area". The quick answer is yes, probably. The "Bell curve" is called a Gaussian function (see related link). The area under a Gaussian is not necessarily 1; it can be anything. However, if you're talking about probability, where the probability distribution is in the same of a Gaussian, then the area under the curve must be exactly 1. This isn't however, because it is a bell curve, but because it's a probability distribution. The area under any probability distribution must always be exactly 1, or it isn't a valid distribution. The proper term for the total area under any curve f(x) is the integral from negative infinity to infinity of f(x) dx

Well, there round. So, when you drop an open can, they go rolling off in all directions, with many rolling under the refrigerator and stove. That's how they disperse if they're lucky enough to escape being eaten.

Normalizing the wave function ensures that the probability of finding the particle in the entire space is equal to 1. This is a fundamental requirement in quantum mechanics to ensure that the total probability of finding the particle somewhere is unity. Non-normalized wave functions would result in inconsistent and incorrect probability calculations.