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A certain kind of bacterial either die, split into two or split into three bacteria. All splits are exact copies. The chances of dying is 1/4, the chances of splitting into two is 1/2 and splitting into three is 1/4. If the probability that it survives for infinite length of time is , then the value of (m+n) is
    Correct answer is '7'. Can you explain this answer?
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    A certain kind of bacterial either die, split into two or split into ...
    Let the probability of single bacteria to die = P
    Given, Probability of dying = 1/4
    Probability of splitting into two = 1/2
    Probability of splitting into three = ¼
    Then, P = Probability of dying + Probability of splitting into two and both to die + Probability of splitting into three and all three to die
    (Avoiding negative sign)
    ∴ The probability that bacteria survives
    =
    Now, comparing it with , we get
    m = 5, n = 2
    Hence, m + n = 5 + 2 = 7
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    A certain kind of bacterial either die, split into two or split into three bacteria. All splits are exact copies. The chances of dying is 1/4, the chances of splitting into two is 1/2 and splitting into three is 1/4. If the probability that it survives for infinite length of time is , then the value of (m+n) isCorrect answer is '7'. Can you explain this answer?
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    A certain kind of bacterial either die, split into two or split into three bacteria. All splits are exact copies. The chances of dying is 1/4, the chances of splitting into two is 1/2 and splitting into three is 1/4. If the probability that it survives for infinite length of time is , then the value of (m+n) isCorrect answer is '7'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A certain kind of bacterial either die, split into two or split into three bacteria. All splits are exact copies. The chances of dying is 1/4, the chances of splitting into two is 1/2 and splitting into three is 1/4. If the probability that it survives for infinite length of time is , then the value of (m+n) isCorrect answer is '7'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain kind of bacterial either die, split into two or split into three bacteria. All splits are exact copies. The chances of dying is 1/4, the chances of splitting into two is 1/2 and splitting into three is 1/4. If the probability that it survives for infinite length of time is , then the value of (m+n) isCorrect answer is '7'. Can you explain this answer?.
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