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Previous Year Question (PYQs)
3
An anti-aircraft gun fires at a plane. Probabilities of hitting at slots 1,2,3,4 are $0.4,;0.3,;0.2,;0.1$.
Probability that the gun hits the plane is
Solution
Probability of miss in all four shots:
$(1-0.4)(1-0.3)(1-0.2)(1-0.1)$
$=0.6 \times 0.7 \times 0.8 \times 0.9$
$=0.3024$
Probability of at least one hit:
$1-0.3024 = 0.6976$
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