Question
A ship is fitted with three engines , , and ,. The engines function independently of each other with respective probabilities . and ,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?
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Question 1
Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin three times and notes the number of tails. If she gets 3,4,5 or 6, she tosses the coin once and notes whether 'head' or 'tail' is obtained. If she obtained exactly one 'tail', what is the probability that she threw 3,4,5,or 6 with the dieQuestion 2
If two different numbers are taken from the set then the probability that their sum as well absolute difference are both multiple of is: Question Text | A ship is fitted with three engines , , and ,. The engines function independently of each other with respective probabilities . and ,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? |