1. There are two coin purses. The first coin purse contains a penny (P) and a nickel (N). The second coin purse contains a dime (D) and a quarter (Q).
A coin is chosen at random from each purse, and the outcome is recorded.
(For instance, the outcome NQ means Nickel from the first purse and Quarter from the second purse.)
(a) List all of the outcomes in the sample space.
(b) Let A be the event "the sum of the coin values is an even number of cents."
What outcomes belong to event A? (Just list them).
What is the probability of event A? ______
(c) Let B be the event "the sum of the coin values is less than 15 cents or greater than 28 cents."
What outcomes belong to event B? (Just list them).
What is the probability of event B? ______
(d) Determine the probability P(A È B). Show work/explanation.