SOLUTION: An activist wants to make a statement by spray painting a message on the side of youelevated water tank that is protected with fence alarms and cameras. If he is successful, you an
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Question 712609: An activist wants to make a statement by spray painting a message on the side of youelevated water tank that is protected with fence alarms and cameras. If he is successful, you anticipate that it will cost you $2,500 to clean the graffiti off of your tank. The anticipated probabilities of his success are as given in the following table:

Probabilities of Success
Finding the location of the water tank
95%
Getting through the perimeter fence
8 out of 10 times
Being detected during the attack
0.3
Getting to the tank ladder
Even chance
Breaking the ladder lock
50%
Making it safely to the tank perimeter catwalk
Certainty
Spray Paint can working and paint adhering to tank
90 out of 100 times

Determine:
(a) The activist’s probability of success. The answer is 16.9% but I cannot figure out how to solve this.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If all the events are independent, then you can simply multiply all the probabilities. However, something seems missing because I'm not able to multiply the probabilities to get 0.169
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