An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space? __?__ b. Let A be the event that either a 3 or 4 is rolled first, followed by...

An experiment consists of first rolling a die and then tossing a coin:

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

b. Let A be the event that either a 3 or 4 is rolled first, followed by landing a head on the coin toss.
P(A) = __?__ Present your answer as a decimal rounded to four decimal places.

c. Let B be the event that a number less than 3 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?