# Chances of Recieving a Direct Hit by a Scud Missile

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Problem:

Chances of recieving a direct hit by a scud missile.

A scud carries 113kg of explosive, has blast are of 91m in diameter and that missiles are being lobbed into an area 80km long and 48km wide. Assume that missiles fall randomly on this area.

a) What is the probability of being in the blast area of a missile?

b) If 20 missiles fell onto the area, what is the probability of escaping all 20?

https://brainmass.com/statistics/probability/chances-receiving-direct-hit-scud-missile-9665

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Total Area that the missile will blast = (pi*d^2)/4

= ((22/7)*91*91)/4 = 6506.5 sq metre.

Total Area = 80000 m x 48000 m = 3840000000 sq metre

a)Probability of being in the blast area = 6506.5 sq metre./384000000 sq metre

= .00016% ans.

b) Probability of escaping all 20 = (probability of surviing)^20

= 99.9968%

Hope it is clear.

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