SOLUTION: 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 2 or 3 is roll

Question 1199739: 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 2 or 3 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?
Yes, they are Mutually Exclusive
No, they are not Mutually Exclusive
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The sample space is:
1H
2H
3H
4H
5H
6H
1T
2T
3T
4T
5T
6T
a) Thus, there are 12 elements
b) The possibilities are 2H and 3H. P(A) = 2/12 = 1/6
c) They are not mutually exclusive. These are independent events. The result of the coin toss is not affected by what number is rolled.
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