Question

One of the two persons P or Q is to solve a technical problem with chances ½ and ¼, respectively. Find the probability that the technical problem is solved.A.1/8B.3/8C.5/8D.7/8

Answer 1

The probability that the technical problem is solved can be defined as follows:

The probability that P solves the problem or probability that Q solves the problem or probability that both (P and Q) solve the problem

The probability that P solves the problem = 1/2

The probability that Q solves the problem= 1/4

The probability that both solve the problem = (1/2) x (1/4) = 1/8

The probability that the technical problem is solved =

`\begin{gathered} (1)/(2)\text{ + }(1)/(4)\text{ -}(1)/(8) \\ =(4+2-1)/(8) \\ (5)/(8) \end{gathered}`

The correct option is C