SOLUTION: A classroom has 71 students. Ten of them are Chinese, 24 are Japanese, and 37 are Filipinos. If three are randomly picked to get out from the room, one after the other, what are th

Algebra ->  Permutations -> SOLUTION: A classroom has 71 students. Ten of them are Chinese, 24 are Japanese, and 37 are Filipinos. If three are randomly picked to get out from the room, one after the other, what are th      Log On


   

Question 1150858: A classroom has 71 students. Ten of them are Chinese, 24 are Japanese, and 37 are Filipinos. If three are randomly picked to get out from the room, one after the other, what are the possibilities that all three are Chinese?
Answer by ikleyn(52778) About Me  (Show Source):
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A classroom has 71 students. Ten of them are Chinese, 24 are Japanese, and 37 are Filipinos. If three are randomly picked
to get out from the room, one after the other, what highlight%28cross%28are%29%29 IS the highlight%28cross%28possibilities%29%29 probability that all three are Chinese? 


The probability is  10%2F71  that the first selected student is Chinese;

the probability is  9%2F70  that the second selected student is Chinese;

the probability is  8%2F69  that the third selected student is Chinese.



So, the final probability is  %2810%2F71%29%2A%289%2F70%29%2A%288%2F69%29.    ANSWER