No28

We expect the generating probability of a life.

Although we feel the term for several 100 million years like huge time, there is no great matter in space age.

We consider a "go board" for an example.

As for the actual go board, it is underlined with the line of 19 sequences in all directions.

Although the intersection of (19 x 19) is in it, let's consider the board of a simpler (8 x 8) sequence here.

We put the go stone of black and white on the board of eight sequences which are not placed at all by turns.

If we place 8 x 8 times, a stone will be buried with all intersections.

Although it differs from the contents of the actual game of go, please think the simple game which places the stone by turns in this case.

We presume that one move takes 10 seconds.

Then, such time is a second (8 x 8 x 10) by end.

They are about 10 minutes and 40 seconds.

Since calculation is troublesome if it is this, we are simplified in 10 minutes.

Next, we consider how many kinds of pattern which puts a stone in order is in a go board.

The stone placed first is 8 x 8 kinds.

Accordingly, it is 64 kinds.

Next, because the stone to place cannot be placed on the already placed stone, the number of them is 63.

The next is 62 kinds.

We calculate the next with ....

The answer is the factorial of 64.

(about 12.7 x the 88th power of 10)

In order to put all patterns in order, what time do we need?

For one year is converted per part.

60 x 24 x 365 minutes.

(about the 5x5th power of10)

The number of times which has a stone arranged in in one year by the go board is about 5 x the 4th power of 10.

We calculate time required to put all patterns in order.

Answer

Years

about 2.54 x the 84th power of 10Years.

A mainstream opinion is 1 billion years in the time needed for a life occurring.

It is the same even if it expresses it as the 9th power of 10 year.

10 billions are the 10th power of 10.

1 trillion years are the 12th power of 10.