Created trio

What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be:
a) the boys themselves
b) the girls themselves
c) 2 boys and 1 girl?

Correct answer:

p1 =  21.5573 %
p2 =  4.8943 %
p3 =  45.6507 %

Step-by-step explanation:

c=19 d=12 s=c+d=19+12=31  p1=100 c (c1) (c2)s (s1) (s2)=100 19 (191) (192)31 (311) (312)=21.5573%
p2=100 d (d1) (d2)s (s1) (s2)=100 12 (121) (122)31 (311) (312)=4400899=4.8943%
C2(19)=(192)=19!2!(192)!=191821=171 C1(12)=(121)=12!1!(121)!=121=12 C3(31)=(313)=31!3!(313)!=313029321=4495 p3=100 3 c (c1) ds (s1) (s2)=100 3 19 (191) 1231 (311) (312)45.6507=45.6507%   Verifying Solution:   p33=100 (c2) (d1)(s3)=100 171 12449545.6507 %

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