• # question_answer A missile is fired at a plane on which there are two targets I & II. The probability of hiting target I is ${{P}_{1}}$ & that of hiting the II is ${{P}_{2}}.$ If it is known that target I is not hit, then the probability that the target II is hit is: 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) $\frac{{{P}_{2}}}{1-{{P}_{1}}}$

 A: Target I is$\text{hit}={{P}_{1}}$  ;  B: Target II is $\text{hit}={{P}_{2}}\,\,;$ C: none is hit $1-({{P}_{1}}+{{P}_{2}})$$\Rightarrow$$P\,(E)=\frac{{{P}_{2}}}{1-{{P}_{1}}}$