Questions
If the papers of 4 students can be checked by any one of the 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers is
detailed solution
Correct option is D
The total number of ways in which papers of 4 students can be checked by seven teachers is 74. The number of ways of choosing two teachers out of 7 is 7C2The number of ways in which they can check four papers is 24. But this includes two ways in which all the papers will be checked by a single teacher. Therefore, the number of ways in which 4 papers can be checked by exactly two teachers is 24 - 2 = 14. Therefore, the number of favorable ways is 7C2(14)=(21)(14) Thus, the required probability is (21)(14)74=6/49.Similar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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