MTH202 Fall 2011 Final Term Feb 2012 – VU Current Paper – 10 Feb 2012

Three horses A, B and C are in a race, probability that A wins is twice the probability of that the horse B wins, and probability that B wins is twice the probability of that the C wins. What is the probability that either A or B wins.

given, set A={children of both ***es}, B={at most one boy}, if a family have two children then show that the sets are dependent events.

A connected planar graph has 30 edges and 20 faces, what is the number of vertices of the graph.
Find adjacency matrix of the graph. (given graph was example of the handout with four vertices at page 301 of hand out.)
The given graph is not planar. give reasons…. (bipartite graph k3,3 was given, at page 316 of handout)
find the sum of the infinite series 1, squareroot of 2, 2,….