SOLUTION: A safety committee of 2 has to be firmed from 30 studentd. 8 study physics. 10 study chemistry. 12 study biology. If the same student cannot be choosen twice whats the probability

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Question 1017445: A safety committee of 2 has to be firmed from 30 studentd. 8 study physics. 10 study chemistry. 12 study biology. If the same student cannot be choosen twice whats the probability that
A. Both students are studing physics
B. The first studies biology the second studies chemistry
C. That both students choosen study same subject

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!

p(both studying physics)=(8/30)(7/29)=28/435
P(biology1 chemistry2)=(12/30)(10/29)=4/29
P(same subject)=28/435 (or 56/870) + (10/30)(9/29)+(12/30)(11/29)=
(56+90+132)/870=
(278/870)=(139/435)