City University has both a men's and women's lacrosse team. Both teams play their games vs. other teams on the same day. On any given (randomly selected) game-day: The probability that the men's team wins is .70 (call this event M) The probability that the women's team wins is .80 (call this event W) The probability that both teams win is .52 (a) Given the information that the men's team won their game, what is the probability that the women's team won their game? (b) Are M and W independent events? You must prove and/or explain your answer correctly.

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