Anne has 8 unmarked computer disks in a box, where each is dedicated to exactly one of English, Spanish, Mathematics, computer science, biology, SAT preparation, college applications, and American history. If she chooses a computer disk at random, what is the probability that she chooses the SAT preparation disk?

The correct answer is 0.125.

Step-by-step explanation:

Anne has 8 unmarked computer disks in a box, namely one of English, Spanish, Mathematics, computer science, biology, SAT preparation, college applications, and American history.

Let the experiment be to pick up the SAT preparation disk from this set of 8 disk

Possible outcome is only one as there is only one SAT preparation disk.

Total number of outcomes, i.e. total number of disks available is 8.

Probability of picking of SAT preparation disk is

Probability = =  .

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.