Mark (√) against the correct answer in each of the following:
It is given that the probability that A can solve a given problem is and the probability that B can solve the same problem is . The probability that at least one of A and B can solve a problem is

Question

Philoid · Accepted Answer

_{P(A) = probability that A can solve the problem}

_{= 3/5}

_{And P(B) = probability that B can solve the problem = 2/3}

_{P(A U B) = P(A) + P(B), As the events are independent}

_⇒ _P(A _∩ _B_{) = P(A).P(B)}

_Thus,

⇒ _{P(A) + P(B) = 3/5 +2/3 – 2/5 = 13/15}

Mark (√) against the correct answer in each of the following:It is given that the probability that A can solve a given problem is and the probability that B can solve the same problem is . The probability that at least one of A and B can solve a problem is