Hi

"There is a 99% chance that the system's radar will detect an incoming enemy missile such as the Scud. 

Once the missile is detected, a Patriot missile is fired and has a 98.5% chance

 of exploding close enough to the incoming missile so that its fragments will damage the incoming missile. If this happens, there is a 65% chance that the 

incoming missile will explode in the air and thus cause no damage." 

Calculate the probability that an incoming missile will be totally destroyed in

 the air by a Patriot missile. Please use 3 decimals

P(detect 'and' damage 'and' destroy) = .99*.985*.65 = .634 

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