If a safety switch has a 1 in 10 chance of failing, how many switches would a company want to install in order to have only one million chance of them all failing a the same time? Show your reasoning.

If a safety switch has a 1 in 10 chance of failing, 6 switches would a company want to install in order to have only one million chance of them all failing a the same time.
Failing AT THE SAME TIME, [ means that the chosen switch will have probabilities 1/10 and 1/10 and 1/10 and 1/10.....
AND means multiply, therefore
1/10 * 1/10 *1/10 * 1/10 * 1/10 *1/10 = 1/1,000,000
This is also modeled by the equation:
(1/10)^n = 1/1,000,000
n = 6 safety switches.
]

Expert answered|emdjay23|Points 154942|

Question

Asked 11/3/2018 12:08:58 PM

0 Answers/Comments

This answer has been confirmed as correct and helpful.

Rating

There are no new answers.

31,999,318

questions answered

There are no comments.