Probability

In the field of IT you are dealing with probabilities all day long. How long will the hardware last, how can you keep the signal for the network strong all over the building, how will adding a new group of computers impact the network, or heaven forbid your network come under attack and you need to keep damage to a minimum while fending off the attack. IT professionals think in probabilities. They're always running scenarios through their heads to come up with and fix problems before they occur.

The probability of rolling a 4 is 1/6.

One sixth or one in six or 0.1666... or 16.666...%

The result of the tenth toss is usually independent of the previous nine so the probability is 0.5.

1/4

9:10

Your question did not identify one distribution in particular. I have provide in the related link the moment generating functions of various probability distributions.

Never. If you roll it 1 time, there can be no "then".

They are simply convenient notations. In fact, in binary, 10 is two.

5/12

Consider the possibile outcome of two rolls of a die (where order matters):

(1,1)

(1,2)

(1,3)

.

.

.

(4,6)

(5,6)

(6,6)

There are 6*6=36 possible outcomes. Of these, the following would achieve the result desired:

(1,2)

(1,3)

(1,4)

(1,5)

(1,6)

(2,3)

(2,4)

(2,5)

(2,6)

.

.

.

(5,6)

For the first die equal to 1, there are 5 successful results. For the first die equal to 2, there are 4 successful results....For the first die equal to 5, there is 1 successful result. The total number of successful outcomes=5+4+3+2+1.

So the probability that the desired outcome is obtained=(5+4+3+2+1)/36=15/36=5/12.

The lowest number I can roll on a die is 1.

In ten rolls, that's a minimum of ten; I cannot make it 8 or less.

Zero is a foul throw.

If the coin is fair and balanced, like Fox, then the probability is 50%.

1/2*25/51*24/50*23/49

if cards are not replaced

4662

s

Most people take samples so that they may make estimates of parameters of interest: mean, variance, etc for the whole population. For such an estimate to have any validity the sample data must be assumed to represent a population distribution. Otherwise any conclusions based on the sample are valid only for the sample: hardly worth the effort!

yes.

one out of four

Sigurd Roll died on 1944-06-24.

In the first two draws, the probability is 1/15.

Sana could have 80.

They don't see the whole picture.

One side of the six sided cube has a 3 so: 1/6

One in 52 - because there are 52 cars in a deck, and only one Queen of Clubs.