Answer:


Now, add these two equations.
You get,



Given,




You can test this to the other equation as well.


Hence, the two numbers are 14 and 10.
Event A - roll a 6-number cube
Event B - flip a coin
*Independent events *not mutually exclusive events
Both events are independent and not mutually exclusive.
Independent event means that one can happen without relying on the outcome of the other one.
Not mutually exclusive event means that both can happen at the same time.
Bill tells Matt that he has 3 kids. This means that in this item, we have three unknowns, those are the ages of the three kids. First, the product of the ages is 72.
(x)(y)(z) = 72
Also, for the sum of their ages, we have
x + y + z =?
There are three variables in the equation which means that 3 equations should also be presented to determine the ages of the three children.