Problem 1.

(1 point) A taste testing experiment is conducted in a local grocery store. A passing shopper, who is then asked to state their preference for Coke or Pepsi, tastes two brands, Coke and Pepsi. Suppose that shoppers are asked to take the taste-test.

Part (a)How many elements are in the sample space produced by this experiment? (Think of each person as a separate coin toss... Note: You are not required to list them all.)

Part (b)LetAdenote the event that exactly two of the four individuals will prefer Coke. List the elements inand find()=

Part (c)Letrepresent the event that at least 1 prefers Pepsi. What is()?

Problem 2.

(1 point) A partially completed, yet still functional slot machine has"slots". After the push of a button, each slot on the machine will show one of the following pictures: a cherry, a banana, a lemon, a horseshoe, or a star. Define the following events:

: exactly one cherry appears

: exactly two lemons appears

: at least one non-fruit appears

Part (a)How many elements are in this sample space? There is no need to list them.

Part (b)List the elements inand find()=

Similarly, list the elements inand find()=

Part (c)Find()=

Part (d)What is the probability that exactly one cherry will appear and exactly two lemons will appear?

Part (e)What is the probability that exactly two lemons will appear or exactly one cherry will appear?

Part (f)Areandmutually exclusive events?