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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
  • a)
    52/55
  • b)
    53/55
  • c)
    54/55
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
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And I are selected in the word is 1/11.

To find this probability, we first need to determine the total number of ways to arrange the letters of the word PROBABILITY.

The word PROBABILITY has 11 letters, so there are 11 choices for the first letter, 10 choices for the second letter, and so on. Therefore, there are a total of 11! (11 factorial) ways to arrange the letters.

Now, let's consider the probability of selecting both B and I in the word.

There is only 1 B in the word, so the probability of selecting B is 1/11.

Similarly, there is only 1 I in the word, so the probability of selecting I is also 1/11.

Since the selection of each letter is independent, we can multiply the probabilities together to find the probability of selecting both B and I.

Therefore, the probability of selecting both B and I is (1/11) * (1/11) = 1/121.

Therefore, the probability that both B and I are selected in the word PROBABILITY is 1/121.
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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 isa)52/55b)53/55c)54/55d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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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 isa)52/55b)53/55c)54/55d)none of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 isa)52/55b)53/55c)54/55d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 isa)52/55b)53/55c)54/55d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
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