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Words from the letters of the word PROBABILITY are  formed by taking all letters at a time. The probability that
both B's are not together and both .I's  are not together is

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a
5255
b
5355
c
5455
d
None of these

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detailed solution

Correct option is B

The total number of cases is 11!/2!×2!. Thenumberof  favorable cases is [11!/(2!×2!)]−9! Therefore, the required probability is 1−9!×411!=5355


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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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