MHT CET 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 atleast two of its engines must function. Let denotes 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 correct?
Answer: (D)
Solution
The ship is operational when at least two engines work: , , and $P(all three) =
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