In a hurry
which of the following actions is not an example of two or more independent events?
a observing the numeric outcomes of rolling the same number cube twice consecutively
b observing the numeric outcomes of rolling two number cubes at the same time
c observing the numeric outcomes of rolling three or more number cubes at the same time
d observing the numeric outcomes of rolling a number cube once, then rolling it again, ignoring the outcome if it matches the first

Option D is correct answer.

Step-by-step explanation:

Independent events are those in which the occurrence of one event does not affect the occurrence of the second.

A - observing the numeric outcomes of rolling the same number cube twice consecutively. This is independent event.

B - observing the numeric outcomes of rolling two number cubes at the same time. This is independent event. As two number cubes are not dependent on each other.

C - observing the numeric outcomes of rolling three or more number cubes at the same time. This is independent event.

D - observing the numeric outcomes of rolling a number cube once, then rolling it again, ignoring the outcome if it matches the first. This is a dependent event as a single cube is rolled again and the outcomes are dependent.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square