‘A’ speaks truth in 90% cases and ‘B’ in 80% cases. In what percentage of cases will they contradict…
They contradict each other in 26% of cases. A tells the truth while B lies with probability 0.9 × 0.2 = 0.18, and A lies while B tells the truth with probability 0.1 × 0.8 =…
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‘A’ speaks truth in 90% cases and ‘B’ in 80% cases. In what percentage of cases will they contradict each other in stating the fact?
Answer and explanation
Correct answer C
They contradict each other in 26% of cases. A tells the truth while B lies with probability 0.9 × 0.2 = 0.18, and A lies while B tells the truth with probability 0.1 × 0.8 = 0.08. These mutually exclusive cases give 0.18 + 0.08 = 0.26, or 26%.
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Gujarat SET (GSET)