Discussion:
A Committee of three people has been formed by random selection from five left-wingers and four right wingers. The Committee members then vote for or against a strike whenever there is a dispute. Each left winger votes for a strike three out of four times in strike votes, whereas each right winger votes for a strike only once out of three times in strike votes. If it is known that the Committee has decided against one particular strike, what is the probability that there is a majority of right-wingers on the Committee?