MathDB

22

Part of 1991 AMC 8

Problems(1)

AJHSME 1991 Problem 22

Source:

6/24/2011
Each spinner is divided into 33 equal parts. The results obtained from spinning the two spinners are multiplied. What is the probability that this product is an even number?
[asy] draw(circle((0,0),2)); draw(circle((5,0),2)); draw((0,0)--(sqrt(3),1)); draw((0,0)--(-sqrt(3),1)); draw((0,0)--(0,-2)); draw((5,0)--(5+sqrt(3),1)); draw((5,0)--(5-sqrt(3),1)); draw((5,0)--(5,-2)); fill((0,5/3)--(2/3,7/3)--(1/3,7/3)--(1/3,3)--(-1/3,3)--(-1/3,7/3)--(-2/3,7/3)--cycle,black); fill((5,5/3)--(17/3,7/3)--(16/3,7/3)--(16/3,3)--(14/3,3)--(14/3,7/3)--(13/3,7/3)--cycle,black); label("11",(0,1/2),N); label("22",(sqrt(3)/4,-1/4),ESE); label("33",(-sqrt(3)/4,-1/4),WSW); label("44",(5,1/2),N); label("55",(5+sqrt(3)/4,-1/4),ESE); label("66",(5-sqrt(3)/4,-1/4),WSW); [/asy]
(A) 13(B) 12(C) 23(D) 79(E) 1\text{(A)}\ \frac{1}{3} \qquad \text{(B)}\ \frac{1}{2} \qquad \text{(C)}\ \frac{2}{3} \qquad \text{(D)}\ \frac{7}{9} \qquad \text{(E)}\ 1
probabilityPurple Comet