Advertisement Remove all ads

Probability of Solving Specific Problem Independently by a and B Are `1/2 and 1/3` Respectively. If Both Try to Solve the Problem Independently, Find the Probability that (I) the Problem is Solved (Ii) Exactly One of Them Solves the Problem. - Mathematics

Probability of solving specific problem independently by A and B are `1/2 and 1/3` respectively. If both try to solve the problem independently, find the probability that

(i) the problem is solved (ii) exactly one of them solves the problem.

Advertisement Remove all ads

Solution

Probability of solving the problem by A, P (A) =1/2

Probability of solving the problem by B, P (B) =1/3

Since the problem is solved independently by A and B,

1) Probability that the problem is solved = P (A ∪ B)

2)Probability that exactly one of them solves the problem is given by,    P(A).P(B') + P(B).P(A')

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 12 Maths
Chapter 13 Probability
Q 14 | Page 547
Advertisement Remove all ads

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×