1. What is the sample space for this random experiment?
2. List the outcomes in
3. (a)A
4. (b)B
5. (c)A?B
6. (d)A?B
7. Calculate the probabilities of (a)-(d) in question 2.
8. CalculateP(C).
9. Consider the event consisting of outcomes that are odd numbers greater than 10. Express this in terms ofA,B,Cand calculate its probability.
10. CalculateP(B|C) andP(C|B). AreBandCindependent events?

Part A. Consider a random experiment in which two dice are rolled, and the two values are multiplied together to give the outcome. Outcomes Second roll: 1 2 3 4 6 First roll: 1 1 2 3 4 5 6 2 2 4 6 8 10 12 3 3 6 9 12 15 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 Dene the events A 1 outcome is even B : outcome is greater than 10 C: outcome is a square number