Math homework

Based on your coin flips, you have chosen building to rob. Although it has no electric fences and no closed-circuit cameras, the money is guarded by a gigantic hound. Fortunately, you have gem-powered gun, which is capable of putting any person or animal to sleep instantly. Unfortunately, that power only works half the time ( that is, each time the weapon is fired, the probability of making the target fall asleep is 1/2 ). Just to be safe, you are also carrying a dog whistle, which aims to keep any dog away, but the product claims to only work on 96% of dogs. If the probability that both the whistle and the gum will work on this dog is 48%, what is the probability that you will be able to get past the dog (by putting it to sleep or whistling or both)

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