It is (2/3d)^3
Make sure the exponent is on the outside. This is because you are raising 2/3d. Not just D
The sample space will be: {1, 2, 3, 4, 5, 6}
Event A is: {Rolling 1,2 or 3}
Complement of event A will contain all those outcomes in the sample space which are not a part of event A.
So, complement of event A will be: {Rolling a 4,5 or 6}
Thus option A gives the correct answer
The mistake is n third line - adding 3w
96 + 2w =2(80 - 3w)
96 + 2w = 160 - 6w
+ 6w + 6w
96 + 8w = 160
- 96 -96
8w = 64
w = 8 weeks answer
Area of a circle is 75 cm².
Area of a circle is computed by multiplying pi to the square of the radius.
A = πr²
diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3
A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,

will have the most elements when the sets

and

are disjoint, i.e.

, which would mean the most we can can in this case would be

(Note that

denotes the cardinality of the set

.)