Out of six computer chips, two are defective. If two of the chips are chosen randomly for testing, compute...

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  1. Outof six computer chips,two are defective. If two of the chips are chosen randomly fortesting,compute the probability that both of them are defective.List all the outcomes in the sample space, if we were checking allsix computer chips.
  2. Aquiz consists of 6multiple-choice questions. Eachquestion has 4possible answers. Astudent is unprepared,and he has no choice but to guess answers completely atrandom. He passes the quiz if he gets at least 3questions correctly. What is the probability that he will pass?

Thefollowing description applies to problems 3and 4.
A computer program is tested by 5independenttests. If there is an error,these tests will discover it with probabilities 0.1,0.2,0.3,0.4,and 0.5respectively. Suppose that the program contains an error. What is the probability that it will be found

  1. byat least one test? (Hint:this event is the complement of the event where the error is notfound)
  2. byall five tests?

Answer & Explanation Solved by verified expert
4.2 Ratings (865 Votes)
Since out of 6 chips 2 are defective so the probability ofgetting one chip out of 2 defective is 2 6 After that out of 5remaining chips 1 is    See Answer
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