
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer: no
Step-by-step explanation:
Answer:
43.96 or c
Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless
Answer:
no. 4
Step-by-step explanation:
Given
81 red balls
Number of balls per row = Number of rows
Procedure
b = Number of balls
r = Number of rows
T = Total number of balls
b = r
![\begin{gathered} T=b\cdot r \\ Given\text{ b=r} \\ T=b^2 \\ b=\sqrt[]{T} \\ b=\sqrt[]{81} \\ b=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3Db%5Ccdot%20r%20%5C%5C%20Given%5Ctext%7B%20b%3Dr%7D%20%5C%5C%20T%3Db%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7BT%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B81%7D%20%5C%5C%20b%3D9%20%5Cend%7Bgathered%7D)
The answer is:
Number of rows = 9
Number of balls = 9