SOLUTION: A classroom has 25 students, 12 are into sports, 10 are into theater and 4 are into both sports and theater. What is the probability of students who are into 1. sports? 2. theat

Algebra ->  Probability-and-statistics -> SOLUTION: A classroom has 25 students, 12 are into sports, 10 are into theater and 4 are into both sports and theater. What is the probability of students who are into 1. sports? 2. theat      Log On


   



Question 1180367: A classroom has 25 students, 12 are into sports, 10 are into theater and 4 are into
both sports and theater. What is the probability of students who are into
1. sports?
2. theater?
3. sports or theater?
4. sports and the ater?
5. not into sports or theater?​

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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A classroom has 25 students, 12 are into sports, 10 are into theater and 4 are into
both sports and theater. What is the probability of students who are into
1. sports?
2. theater?
3. sports or theater?
4. sports and the ater?
5. not into sports or theater?​
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1)  P(sport) = 12%2F25.


2)  P(theater) = 10%2F25 = 2%2F5.


3)  P(sport or theter) = P(sport) + P(theater) - P(both) = 12%2F25+%2B+10%2F25+-+4%2F25 = 18%2F25


4)  P(sport and the theater) = 4%2F25.


5)  P(not sport or theater) = 1 - P(sport or theater) = 1 - 18%2F25 = 7%2F25.

Solved. All questions are answered.