SOLUTION: 1. A gun is fixed at a target from a certain distance. The probability of hitting the target is 0.2. totally two bomb are enough to destroy the target. If six shells are aimed at t

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Question 1021899: 1. A gun is fixed at a target from a certain distance. The probability of hitting the target is 0.2. totally two bomb are enough to destroy the target. If six shells are aimed at the target, find the probability of the target being destroyed.
2. The overall percentage of failure in a examination is 40. What is the probability that out of a group of 6 candidates atleast 4 passed the examination.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So find the probability that 2 bombs hit the target.
P%282%29=C%286%2C2%29%280.2%29%5E2%281-0.2%29%5E%286-2%29
P%282%29=15%284%2F100%29%284096%2F10000%29
P%282%29=24576%2F100000
.
.
.
So find the probability that 4, 5, and 6 candidates passed.



So then,
P=P%284%29%2BP%285%29%2BP%286%29
P=%28311040%2B186624%2B46656%29%2F1000000
P=54432%2F100000