+0  
 
0
57
1
avatar

In a Bombing action, there is a 50% chance that any bomb will strike the target. Two direct hits are needed to destroy the target completely. How many bombs are required to be dropped to give 99% chance or better of destroying the target?

 May 25, 2020
 #1
avatar+25811 
+1

I do not KNOW this is correct:

 

the chance the bomb does not hit the target   is 1/2

 

the chance that 2 bombs do not hit the target   is  1/22

   the chance they DO hit the target is   1 - 1/22

     for 99 % chance     1- 1/2x = .99

                                    .01 = 1/2x      take log of both sides

                                    -2 = -.30103 x

                                      x = 6.64     or  ~~ 7 bombs

 May 25, 2020
edited by ElectricPavlov  May 25, 2020
edited by ElectricPavlov  May 25, 2020

19 Online Users

avatar
avatar
avatar
avatar