Question 2
Consider two machines. The first has three parts and works only if at least two parts do not fail. One part fails with probability $3/5$; each other part fails with probability $p$. The second machine fails with probability $p^2-p+1$. If their probabilities of working are equal, find $p$.
Practice assumption: failures of the three parts of the first machine are mutually independent. The printed problem and surrounding lesson do not explicitly state this necessary assumption.
Practice assumption: failures of the three parts of the first machine are mutually independent. The printed problem and surrounding lesson do not explicitly state this necessary assumption.