
Probability
203
Chapter 5
PB
D E F Total
A 10 20 10 40
B 5 10 15 30
C 5 10 15 30
Total 20 40 40 100
(a) P(A ∪ D) =
(b) P(E ∪ B) =
(c) P(D ∪ E) =
(d) P(C ∪ F) =
3. Use the values given in the matrix to solve the following
equations:
C D E F Total
A 8 12 4 6 30
B 7 8 1 14 30
Total 15 20 5 20 60
(a) P(A ∩ F) =
(b) P(C ∩ B) =
(c) P(E ∩ F) =
(d) P(A ∩ B) =
4. Unique Pvt. Ltd. is a company involved in the produc-
tion of small bearings. One day an important machine
stops working. The company has four senior operators.
Their chances of repairing the machine are
1
2
1
3
1
4
1
5
,,
respectively. What is the probability that the machine ...