Three prizes are awarded based on a random class drawing. The class has 7 male students and 14 female students.  Students are not allowed to win more than one prize, so the pool of possible winners starts with 21, but there are only 19 possible winners for the third prize. Find the probabilities below, rounding your answers to four decimals. (a) The three prizes all went to male students (b) The three prizes all went to female students    (c) Two prizes went to males students and one went to a female student    (d) One prize went to a male students and two went to female students

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Three prizes are awarded based on a random class drawing. The class has 7 male students and 14 female students.  Students are not allowed to win more than one prize, so the pool of possible winners starts with 21, but there are only 19 possible winners for the third prize.

Find the probabilities below, rounding your answers to four decimals.

(a) The three prizes all went to male students


(b) The three prizes all went to female students
  

(c) Two prizes went to males students and one went to a female student
  

(d) One prize went to a male students and two went to female students

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