Answered

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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

Sagot :

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 =

[tex]\begin{gathered} \frac{1}{2}\text{ + }\frac{1}{4}\text{ -}\frac{1}{8} \\ =\frac{4+2-1}{8} \\ \frac{5}{8} \end{gathered}[/tex]

The correct option is C

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