AP EAMCET · Maths · Probability
Two candidates A and B have attended an interview conducted by a recruitment board for two jobs. If the probability that canditate A will get the job is 0.8 and the probability that candidate \(B\) will get the job is 0.7, then the probability that atleast one of them will get the job is
- A \(0.96\)
- B \(0.94\)
- C \(0.92\)
- D \(0.9\)
Answer & Solution
Correct Answer
(B) \(0.94\)
Step-by-step Solution
Detailed explanation
\(P(\text{A will not get job}) = 1 - 0.8 = 0.2\) \(P(\text{B will not get job}) = 1 - 0.7 = 0.3\) \(P(\text{neither get job}) = 0.2 \cdot 0.3 = 0.06\) \(P(\text{at least one gets job}) = 1 - 0.06 = 0.94\)
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