Practice_Problems_Midterm1

Similarly prb wins 12 x pq 0 x p1q 1 x 1pq

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 0. q = Pr(B scores) = 1/2 Pr(A wins) = Pr(A wins | A scores, B scores) x Pr(A scores, B scores)+ Pr(A wins | A scores, B doesn't score) x Pr(A scores, B doesn't score) + Pr(A wins | B scores, A doesn't score) x Pr(B scores, A doesn't score) + Pr(A wins | Neither A or B score ) x Pr(Neither A or B score). = 1/2 x pq + 1 x p(1 ­q) + 0 x (1 ­p)q + 1/2 x (1 ­p)(1 ­q) = 139/240. c) Since there is a possibility of draw, let E = A wins F = B wins. Answer = Pr(E occurs before F) Pr(A wins) = Pr(A wins | A scores, B scores) x Pr(A scores, B scores)+ Pr(A wins | A scores, B doesn't score) x Pr(A scores, B doesn't score) + Pr(A wins | B scores, A doesn't score) x Pr(B scores, A doesn't score) +...
View Full Document

This note was uploaded on 02/03/2014 for the course EECS 140 taught by Professor Staff during the Spring '08 term at UC Irvine.

Ask a homework question - tutors are online