Three reds

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

Correct result:

p =  1.6935 %

Solution:

C3(9)=(93)=9!3!(9−3)!=9⋅8⋅73⋅2⋅1=84 C3(32)=(323)=32!3!(32−3)!=32⋅31⋅303⋅2⋅1=4960 p1=100⋅ (9⋅ 8⋅ 7)/(32⋅ 31⋅ 30)=10562≐1.6935 % p=100⋅ (39)/(332)=10562=1.6935%

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