Three reds

What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?

Correct result:

p =  1.129 %

Solution:

C3(8)=(83)=8!3!(8−3)!=8⋅7⋅63⋅2⋅1=56  C3(32)=(323)=32!3!(32−3)!=32⋅31⋅303⋅2⋅1=4960  p=100⋅ (83)/(323)=100⋅ 56/4960=3531≐1.129=1.129%   Verifying Solution:  p1=100⋅ 8⋅ 7⋅ 632⋅ 31⋅ 30=3531≐1.129 %

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