MA 110-02
§3.1 – 3.4 Quiz #3 score
Name:
6 July 2001
1. Two dice are rolled. Let Ebe the event “at lease one die is a 4” and let Fdenote the event
“the sum of the dice is 9.”
(a) Are the events Eand Fmutually exclusive? Explain. (2 points)
(b) Find P(E) and P(F).(6 points)
2. If Eand Fare two events in a sample space with P(E) =0.36, P(E ∪F) =0.68, and
P(E ∩F) =0.21, find the value of P(F). Show your work. (5 points)
3. If three dice are rolled, find the probability that at least two of the dice match. Explain
your work. (7 points)