SOLUTION: Among th 10 students of a class, three of them have blue eyes. If we pick randomly two students, what is the probability that A) both students will have blue eyes B) none o

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Question 313710: Among th 10 students of a class, three of them have blue eyes. If we pick randomly two students, what is the probability that
A) both students will have blue eyes
B) none of them will have blue eyes
C) At least one of them will have blue eyes

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Among th 10 students of a class, three of them have blue eyes. If we pick randomly two students, what is the probability that
A) both students will have blue eyes
# of ways to get 2 blue: 3C2 = 3
# of ways to get 2 randomly = 10C2 = 45
P(2 blue) = 3/45 = 1/15
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B) none of them will have blue eyes
# of ways to get no blue: 7C2 = 21
P(2 non-blue) = 21/45 = 7/15
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C) At least one of them will have blue eyes
= 1 - P(2 non-blue)
= 1- 7/15
= 8/15
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Cheers,
Stan H.