Question

The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is

• A. 0.181
• B. 0.191
• C. 0.222
• D. 0.826

Answer 1

The correct option is C 0.222

Let F:The communication system will have high fidelity
Let S:The communication system will have high selectivity
Then P(F) = 0.81 & $P(S\cap F)=0.18$

$P\left(S/F\right)=\frac{P(S\cap F)}{P\left(F\right)}=\frac{0.18}{0.81}=0.222$