ACL/MCL Tears The American Journalof Sports Medicine published a study of 810
Chapter 4, Problem 119(choose chapter or problem)
ACL/MCL Tears The American Journalof Sports Medicine published a study of 810 womencollegiate rugby players with two common kneeinjuries: medial cruciate ligament (MCL) sprainsand anterior cruciate ligament (ACL) tears.9 Forbackfield players, it was found that 39% had MCLsprains and 61% had ACL tears. For forwards, it wasfound that 33% had MCL sprains and 67% had ACLtears. Since a rugby team consists of eight forwardsand seven backs, you can assume that 47% of theplayers with knee injuries are backs and 53% areforwards.a. Find the unconditional probability that a rugbyplayer selected at random from this group ofplayers has experienced an MCL sprain.b. Given that you have selected a player who has anMCL sprain, what is the probability that the playeris a forward?c. Given that you have selected a player who has anACL tear, what is the probability that the player isa back?
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