DISCRETE MATHS TEST QUESTIONS WITH REVISED AND UPDATED ANSWERS
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Course
DISCRETE MATHS
Institution
DISCRETE MATHS
DISCRETE MATHS TEST QUESTIONS WITH REVISED AND UPDATED ANSWERS
Mutually exclusive vs independent - Answer-Two events are mutually exclusive if A∩B =
∅ (they cannot occur simultaneously)
Independent is when the occurrence of one does not influence the occurrence of the other
Probability o...
DISCRETE MATHS TEST QUESTIONS
WITH REVISED AND UPDATED
ANSWERS
Mutually exclusive vs independent - Answer-Two events are mutually exclusive if A∩B =
∅ (they cannot occur simultaneously)
Independent is when the occurrence of one does not influence the occurrence of the
other
Probability of event A - Answer-P(A) = the sum of the probabilities of the elements in A
What is P(AUB) if A and B are mutually exclusive? - Answer-P(A)+P(B)
P(A|B) - Answer-P(A∩B)/P(B)
How to check if A and B are independent - Answer-If P(A∩B) = P(A)*P(B)
When does a connected graph with =>1 edge have a Euler cycle? - Answer-If and only
if it has no vertices of odd degree
What is a Euler cycle? - Answer-A cycle in a graph G that includes all of the edges and
all of the vertices of G
Konigsberg Bridge Problem - Answer-Two islands in a river were connected to each
other and the land by 7 bridges. Is it possible for a parade to cross each of the 7 bridges
once and only once during the walk to town
Four Color Problem - Answer-Is it possible to color every map with 4 colors so that no
two adjacent countries are colored the same?
Marriage Theorem - Answer-If every girl in a village knows k boys and every boy knows
k girls, then each girl can marry a boy she knows and each boy can amrry a girl he
knows
e = {u, v}, edge notation? - Answer-uv or vu
Multigraphs (undirected graphs) - Answer-Allow loops (edges joining a vertex to itself)
and parallel edges (several edges joining the same two vertices)
Digraphs (directed graphs) - Answer-Ordered pair of vertices
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