The professor tells Michael If you get at least a C on the f

The professor tells Michael: \"If you get at least a C on the final exam, then you will pass the course.\" Michael finds out that he got a D on the final. What can he conclude? He\'d better start looking for a summer school course. There\'s still hope. Give reasons for your answer.

Solution

CORRECT OPTION IS: (b) There is still hope.

REASON:

The statement is:

if Premise, then, conclusion.

The premise is:

You get at least a C on the final exam

Conclusion: You will pass the course.

If the premise is true, conclusion is true.

i.e., if you get at least a C on the final exam, you will pass the course.

But, if the premise is false, nothing is told about the truth of the conclusion.

As a benefit of doubt, logic assigns true value to the conclusion in tha case.Thus, there is stll hope.