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Dear fellows. Yesterday I was trying to solve an interesting exercise of probabilities but I still do not understand the reasons of the solutions provided by the book. I will copy the exercise and my answers and then maybe someone of the list could help me with some advices to understand the solution (I'm traslating the exercise from Spanish, so please excuse any non-familiar term): Three students participate in a card's game. They decide that the first person to play will be the one who pick the major card in a 52 card's deck. They order the suits from lower than higher: clubs(?), diamonds (?), hearts (?) and spades (?). a. If the card is thrown again into the card's deck after each student chose one, how many possibly configurations of the three options are? Answer: 52*52*52 = 140608 (since any student can choose any card at any time) b. How many configurations are in which each student selects a different card? Answer: 52*51*50 = 132600 c. What is the probability that the three students select exactly the same card? The answer is 0.00037, that corresponds to 52/140608, but I do not understand why 52 is on the numerator. Maybe the answer is correct but the form to calculate that is wrong... HELP REQUIRED d. What is the probability that the three students choose different cards? The answer is 0.943. This figure corresponds to: (52*51*50/140608), but I do not understand why the sample space is the one that corresponds to all arrangements possible when they select the same card. HELP REQUIRED Thanks to all of you! -- __________________________________________________________________ *Rodrigo Briceño* Project Manager Sanigest Internacional +506 22-91-12-00 ext. 113 * Oficina* *Costa Rica* +506 22-32-08-30 *Fax *[log in to unmask] <mailto:[log in to unmask]> _www.sanigest.com_ <http://www.sanigest.com/> MSN: [log in to unmask] <mailto:[log in to unmask]> SKYPE: rbriceno1087 _____________________ This communication contains legal information which is privileged and confidential. It is for the exclusive use of the address and distribution, dissemination, copying or use by others is strictly prohibited. If you have received this communication by error, please delete the original message and e-mail us. Esta comunicación contiene información legal privilegiada y confidencial para el uso exclusivo del destinatario. La distribución, diseminación, copia u otro uso por terceras personas es estrictamente prohibida. Si usted ha recibido esta comunicación por error, le rogamos borrar el mensaje original y comunicárnoslo a esta misma dirección.