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first: -20 dB/decade

second: -40 dB/decade

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Q: Roll off rate in first and second order filters?
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In rolling a die what is the probability of obtaining a 5 on the first roll and a 6 on the second roll?

1/6 on the first roll, and 1/6 of rolling a six on the second roll. Overall, the chances of you rolling a 5 on the first and a six on the second is 1/3.


If you roll two die what is the probability that one die will roll a one and the second die will roll a two?

Assuming you are talking about fair, six-sided dice, then the probability of rolling a 1 on the first roll in 1/6, and the probability of rolling a 2 on the second roll is 1/6. Putting these together, the probability of rolling 1 on the first die and 2 on the second die is 1/36. If you do not care about the order, then you could roll 1,2 or 2,1; in this case the probability would be 2/36, or 1/18.


What is the Difference between ideal and practical low pass filter?

Ideal filters having sharp cut-off & sharp cut-in for LPF & HPF but in practical filters there is some roll-off rate based on the order.


What is the probability of rolling a 5 on the first roll or a 4 on the second roll?

1/6 + 1/6 = 1/3


What is the probability when you roll two dice that you roll a 2 on the first die and an even number on the second die?

It is 1/12.


What is the probability of rolling a 2 and then a 3 with 6-sised cubes?

The probability of rolling a 2 on the first roll is 1 in 6. The probability of rolling a 3 on the second roll is 1 in 6. However, the probability of rolling a 2 on the first roll and 3 on the second roll before you roll at all is 1/6 x 1/6 = 1 in 36.


1 You roll a number cube once Then you roll it again What is the probability that you will get a 6 on the first roll and a number greater than 3 on the second roll?

1/6*1/2 = 1/12


When rolling a six on the first roll of a 1 6 number cube and rolling an odd number on the second roll of the same cube?

and the question is ... ?


What is the probability of rolling a die twice and getting a 2 on the first roll and a 3 or less on the second roll?

2/12 or 1/6


Do you have to get a yahtzee in one roll?

No. If you have a good combination after the first or second roll you can score it right there.


Does a previous roll of the dice affect the odds what roll?

No. Each roll is independent of the previous roll (on a fair dice). The same is true for flipping a coin. Getting a six your first roll does not make you any more or less likely to roll a six the second time.


If you roll a number cube twice what is the probability of rolling a 6 and a 2?

Assuming that a dice roll is purely random, there is a 1 in 6 probability of landing on any number. Since the second roll depends on the probability of the first, they factor together: First Roll: 1/6 Second Roll: (1/6)(1/6) = 1/36 If you were rolling both dice at once, however, the math would be completely different.