Engineering Board Exam Reviewer · Mutually Exclusive and Independent Events · medium

Two machines operate independently. Machine 1 works with probability 0.9 and machine 2 with probability 0.8. Find the probability that at least one machine works.

  1. 0.72
  2. 0.85
  3. 0.98
  4. 0.9

Answer

C. 0.98

Solution

P( at least one)=1-P( neither)=1-(0.1)(0.2)=0.98.

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