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AP EAMCET · Maths · Probability

The probabilities that A and B speak truth are 45 and 34 respectively. The probability that they contradict each other when asked to speak on a fact is

  1. A 15
  2. B 320
  3. C 420
  4. D 720
Verified Solution

Answer & Solution

Correct Answer

(D) 720

Step-by-step Solution

Detailed explanation

Probability of A speaking truth is PA=45 Probability of A not speaking truth is PA¯=1-PA=1-45=15 Probability of B speaking truth is PB=34 Probability of B not speaking truth is PB¯=1-PB=1-34=14 Probability that they contradict each other is=PB.PA+PA.PB…