Three colors

Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls.

Final Answer:

p =  8.867 %

Step-by-step explanation:

C3​(30)=(330​)=3!(30−3)!30!​=3⋅2⋅130⋅29⋅28​=4060 n=10+10+10=30  p1​=nn​⋅ n−19​⋅ n−28​=3030​⋅ 30−19​⋅ 30−28​=20318​≐0.0887  p=100⋅ p1​=100⋅ 20318​=203100⋅ 18​=2031800​≐8.867%   Verifying Solution:  C3​(10)=(310​)=3!(10−3)!10!​=3⋅2⋅110⋅9⋅8​=120  p2​=3⋅ (310​)/(3n​)=3⋅ 120/4060=20318​≐0.0887 p2​=p1​

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