## Related questions with answers

A nuclear reactor is equipped with two independent automatic shutdown systems to shut down the reactor when the core temperature reaches the danger level. Neither system is perfect. System A shuts down the reactor 90% of the time when the danger level is reached. System B does so 80% of the time. The reactor is shut down if either system works.

Now simulate 100 trials of the reactor's response to an emergency of this kind. Estimate the probability that it will shut down. This probability is higher than the probability that either system working alone will shut down the reactor.

Solution

VerifiedSYSTEM A

System A has a 90% chance of shutting down when the danger level is reached.

This indicates that the reactor (correctly) shuts down about 9 chances in 10.

Let us use digits. Let 1 to 9 represent a correct shut down, while 0 represents no shut down.

$randInt(0,9)$

Note: You can find the randInt command in the MATH menu under PRB 5:randInt( when using a Ti83-calculator.

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