Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?
is the probability of the first sprinkler being triggered and activated. So:
is the probability of the second sprinkler being triggered and activated. So:
There is an 85% probability that the sprinkler head will be activated.