JEE Mains · Maths · STD 11 - 14. probability
Four persons can hit a target correctly with probabilities \(\frac{1}{2},\frac{1}{3},\frac{1}{4}\) and \(\frac {1}{8}\) respectively. If all hit at the target independently, then the probability that the target would be hit, is
- A \(\frac{{25}}{{32}}\)
- B \(\frac{{25}}{{192}}\)
- C \(\frac{{7}}{{32}}\)
- D \(\frac{{1}}{{192}}\)
Answer & Solution
Correct Answer
(A) \(\frac{{25}}{{32}}\)
Step-by-step Solution
Detailed explanation
Let persons be \(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\) \(P(H i t)=1-P\) (none of them hits) \(=1-\mathrm{P}(\overline{\mathrm{A}} \cap \overline{\mathrm{B}} \cap \overline{\mathrm{C}} \cap \overline{\mathrm{D}})\)…
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