A special deck of cards has 8greencards , 11bluecards , and 5redcards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin.

a. How many elements are there in the sample space?

b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss.

P(A) =Round your answer to 4 decimal places.

c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?

• Yes, they are Mutually Exclusive
• No, they are not Mutually Exclusive

d. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive?

• No, they are not Mutually Exclusive
• Yes, they are Mutually Exclusive