Dell's laptop computers come with three popular options; a 3-year warranty, anti-virus software, and a nine-cell battery. Past experience has shown that 70% of customers order the 3-year warranty, 80% order the antivirus software, 75% order the nine-cell battery, 65% order both the 3-year warranty and the anti-virus software, 55% order both the 3-year warranty and the nine-cell battery, 60% order both the anti-virus software and the nine-cell battery, and 98% order at least one of the three options.

A) Construct a Venn diagram for this problem and assign probabilities to all regions of the diagram.

B) Using set-theoretic language inside the probability statement, describe the events being asked and evaluate the probabilities:

What is the probability that the next purchaser will order at least one of the 3-year warranty or anti-virus software options?

C) Using set-theoretic language inside the probability statement, describe the events being asked and evaluate the probabilities:

What is the probability that the next purchaser will select exactly one of the three options?

D) Using set-theoretic language inside the probability statement, describe the events being asked and evaluate the probabilities:

What is the probability that the next purchaser will not order the nine-cell battery option?