Question
A class has 20 boys and 15 girls. The teacher randomly selects 4 students to go to the board to solve the exercises.
A class has 20 boys and 15 girls. The teacher randomly selects 4 students to go to the board to solve the exercises. The probability that the 4 selected students are both male and female is
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Koala Tutor
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Since there are 20 boys and 15 girls in the class, the total number of students is 35.
The probability of selecting all boys is (20/35) * (19/34) * (18/33) * (17/32)
The probability of selecting all girls is (15/35) * (14/34) * (13/33) * (12/32)
The probability of selecting 2 boys and 2 girls is (20/35) * (19/34) * (15/33) * (14/32) + (15/35) * (14/34) * (20/33) * (19/32)
Therefore, the probability that the 4 selected students are both male and female is 0.
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