The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.
For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625
Correct answer: D
In the 
plane, we have 
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the 
plane, we have 
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the 
plane, 
, so
which is a circle centered at (0, -10, 3) of radius 
.
We're given s = 8^(3/2) as the side length. If we square both sides then we have s^2 = [8^(3/2)]^2 = 8^3. Note how the '2's effectively cancel out. This is because we multiply the exponents (3/2) and 2 to get (3/2)*2 = (3/2)*(2/1) = (3*2)/(2*1) = 6/2 = 3.
So A = s^2 = 8^3 = 512 is the area of the square
The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}
<h3>How to create the Subset and Proper Subset of the set?</h3>
The set is given as:
A = {1,2,3,4}
Subsets of a set are sets that can be found in another set
An instance of this is
B = {1, 2}
Because all the elements of set B are in set A
Proper subsets of a set are sets that contain the exact elements found in another set
An instance of this is
C = {1,2,3,4}
Because set C and set A have the same elements
Read more about subsets at:
brainly.com/question/6948738
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