Summary: Section 2.4 Complements, Unions, and Intersections
1. Roll two 6-sided dice. Let
(a) E1 be the event in which both dice show an even number;
(b) E2 be the event in which the sum of the numbers showing is 6; and
(c) E3 be the event in which the sum of the numbers showing is less than 11.
Find P(E1), P(E1), P(E2), P(E2), P(E3), and P(E3).
2. One card is drawn from a standard 52-card deck. Find the probability of selecting at least a
10 (10,J,Q,K,A) or a heart.
3. A new medication being tested produces headaches in 5% of its users, upset stomach in 15%,
and both side effects in 2%.
(a) Find the probability that at least one of these side effects is produced.
(b) Find the probability that neither of these side effects is produced.
4. An 8-sided die is constructed that has two faces marked with 2s, two faces marked with 3s,
two faces marked with 5s, and two faces marked with 8s. If this die is rolled a single time,
find the probability of
(a) Getting a 2.
(b) Not getting a 2.
(c) Getting a 2 or a 3.
(d) Getting neither a 2 nor a 3.
(e) Getting an even number.