Probability

6/10 or reduced is 3/5

Tarts - because the knave stole them!

To find P( at least 1 head in 7 tosses) we can find P( no heads) and subtract that

from one. Alternatively, we need to find P ( 1 head) + P ( 2 heads )+...+ P(7 heads)

Since P of no heads is P( all tails) this is (1/2)7 =.0078125 ( 1/128 as a fraction)

Now 1-(1/128)=127/128 or .9921875

The "why" is simple: he would otherwise be nearly 3,000 years old.

True

The z-score table is the cumulative distribution for the Standard Normal Distribution. In real life very many random variables can be modelled, at least approximately, by the Normal (or Gaussian) distribution. It will have its own mean and variance but the Z transform converts it into a standard Normal distribution (mean = 0, variance = 1). The Z-distribution is then used to make statistical inferences about the data.

However, there is no simple analytical method to calculate the values of the distribution function. So, it has been done and tabulated for easy reference.

It may or may not be - it depends on the events.

On a single roll of a normal die the probability of getting a 7 is 0.

1:6

* * * * *

No.

It is 10/32 = 5/16

A fair chance of winning is more than 50% chance of winning.

Therefore probability = 0.5

We need to find a fair chance of winning atleast one match.

1-(5/6)^n > 0.5

hence, n=4

QED (quite easily done, :-p)

There are eleven possible "sums of dots" if you throw two 6-sided dice. The range of possible values is from 2 (1+1) to 12 (6+6).

It is 0.0033

more mass.

1.525% in other words, NOT LIKELY

Math is used in the military for navigation (Aircraft, Ships, Tanks/Infantrymen), used for elevation and windage (deflection) when firing the artillery; math is used to compute ammunition numbers, food requests, fuel consumption, parts ordering, and other logistical operations. Math is also used in determining how much money we earned on pay day.

Scientists think that the first life forms appeared on Earth about 3.6 billion years ago. These were simple cells that eventually evolved into the abundance of life we see today.

Anywhere from 0 to 1; it depends on the shape and what numbers are written on the faces.

The trick is the person doing the trick noes your age ...bet you dint think off that

Which term most closely matches the desription: Any real or potential condition that can cause injury, illness, or death to personnel; damage to or loss of equipment or property; degradation of mission capability or impact to mission accomplishment; or damage to the environment.

1/36

With standard dice, zero.

It is 1 (or very close to that). Most people have or will do it some time in their lives.

this is a combination question. Assuming the letters cannot be used again and all letters make words of the same length you do the following:

There are 9 letters so:

it is 9x8x7x6x5x4x3x2x1 = 362,800.

Because it has 2 of the same letter (a), I think you should take away from this 8x7x6x5x4x3x2x1, i.e. take away 40,320.

So I think the answer is 322480.

I am not sure if this is right, but the methodology of the first part (i.e. no repeating letters) is correct

Coincidence, or you should be the subject of an episode of "Touch".

P(7 out of 10)=7/10