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Of a class has 22 students 8 girls and 14 boys what is the probability that a 4 student committee with equal number of boys and girls will be selected from this class?
Wiki User
∙ 14y ago
Total possibilities of any 4 from 22 is (22 x 21 x 20 x 19)/(4 x 3 x 2) ie 7315.
Any 2 boys out of 8 is (8 x 7)/2 ie 28 and any 2 girls out of 14 is (14 x 13)/2 ie 91.
These pairs can be combined in 91 x 28 ways ie 2548 so probability of 2 & 2 is
2548 out of 7315 which is 0.35 all but a whisker!
Wiki User
∙ 14y ago
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