A) \[\frac{{{P}_{2}}}{{{P}_{1}}+{{P}_{2}}-{{P}_{1}}{{P}_{2}}}\]
B) \[\frac{{{P}_{2}}(1-{{P}_{1}})}{1-{{P}_{1}}{{P}_{2}}}\]
C) \[{{P}_{2}}(1-{{P}_{1}})\]
D) \[\frac{{{P}_{2}}}{1-{{P}_{1}}}\]
Correct Answer: D
Solution :
[D]A : Target I is hit =\[{{P}_{1}};\] |
B : Target II is hit = \[{{P}_{2}};\] |
C : none is hit \[1-({{P}_{1}}+{{P}_{2}})\] |
\[\Rightarrow P(E)=\frac{{{P}_{2}}}{1-{{P}_{1}}}\] |
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