On a large university campus, 84% of students report having a Microsoft product (phone, computer, mp3 player, etc.) and 33% report having an Apple product. Also, 86% report having a Microsoft or Apple product.
A student is randomly selected from this campus.
Define the following events:
A = the randomly selected student has a Microsoft product
B = the randomly selected student has an Apple product.
a. Write out the event that the randomly selected student has a Microsoft product and an Apple product. What is the probability of this event?
b. Write out the event that the randomly selected student does not have a Microsoft product and does not have an Apple product. What is the probability of this event?
c. Write out the event that the randomly selected student has either a Microsoft product or an Apple product, but not both. What is the probability of this event?
d. What is the probability a randomly selected students has an Apple product but not a Microsoft product?