Annihilation of Bunnies!!

Suppose you are a professional hitman who has been hired by me to kill the world's most annoying bunny ever. You, being a professional, went through the most rigorous of training and are an expert sniper.

It is known that you have a probability of \(0.99\) of hitting a target in the heart and thus making a critical hit and it is also known that the bunny is invulnerable to all kinds of attacks except critical hits.

Now, you have only \(4\) bullets with you to complete the job (bullet shop was closed that day). What is the probability that you'll fail the job?

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