we have at our disposal three antibiotics, Alpha, Beta, and Gamma, that effectively fight bacterial disease X. Alpha has a .95 probalility of destroying each bacterium during the time it is being taken. Beta has a 0.90 probabilyt and Gamma has a 0.88 probability of destroying each bacterium. If the three drugs are taken simultaneously and they work independently, what is the porbality that this combined treatment destroys each bacterium. (Note: In order for a bacterium to be killed, at least one of the drugs has to be effective)

I spent almost 8 hours to solve this problem but could not figure it out.

Please help me~~~!

Thank you!!