Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
Answer:$8,000
Step-by-step explanation:
YEah im too lazy to say hiow i sovled jt
Answer:
---- At least 5 from marketing departments are extroverts
---- All from marketing departments are extroverts
---------- None from computer programmers are introverts
Step-by-step explanation:
See comment for complete question
The question is an illustration of binomial probability where


--- marketing personnel
--- proportion that are extroverts
Using the complement rule, we have:

So, we have:






So, we have:


Recall that:



--- approximated

--- marketing personnel
--- proportion that are extroverts
So, we have:





---------- computer programmers
--- proportion that are introverts
So, we have:




Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.