JEE Advanced 2012 Mathematics question
A ship is fitted with three engines , and . The engines function independently of each other with respective probabilities , and . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let , and denote respectively the events that the engines , and are functioning. Which of the following is (are) true ?
Answer: (B),(D)
Solution
Exactly two working: : ; : ; : ; total . All three: . So . (A) $|X) = = 18
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