Question

For each of the following passages, identify whether the italicized phrase identifies a necessary condition, a...

For each of the following passages, identify whether the italicized phrase identifies a necessary condition, a sufficient condition, or both.

  

Necessary

Sufficient

  

Necessary and Sufficient

Blank

A.

Blank

B.

You can only win today’s lottery if you have a ticket.

C.

This exa*m is worth 100% of your course grade. You must pass the exa*m in order to pass the course.

D.

If you won today’s lottery, you must have a ticket.

Homework Answers

Answer #1

A is blank so starting with B.

B: Having a ticket is really necessary to participate in a lottery and later win it but it is not sufficient to win it. Thus, this is a necessary condition.

C: Passing the exa*m is necessary to pass the course and it is also sufficient to pass the course as the exa*m is worth 100% of the course grade. Thus, it is a necessary as well as sufficient condition.

D: Winning a lottery is a fact which is sufficient to infer that the person was having a ticket but winning a lottery is not a necessary condition to infer that the person was having a ticket. Thus, this is a sufficient condition.

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