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Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karantaka?
  • a)
    12/13
  • b)
    11/13
  • c)
    10/15
  • d)
    1/15
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Out of 15 students studying in a class, 7 are from Maharashtra, 5 are ...
No. of ways of selecting 4 students out of 15 students

The no of ways of selecting 4 students in which no student belongs to Karnataka = 10C4
∴ No of ways of selecting at least one student from Karnataka = 15C4 - 10C4 = 1155
∴ Required probability 
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Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karantaka?a)12/13b)11/13c)10/15d)1/15Correct answer is option 'B'. Can you explain this answer?
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