Find the probability of selecting a red and a blue bottle:
Probability = number of required outcome/number of possible outcome

The number of possible outcome = 20
The number of picking red bottle = 5
The number of picking blue bottle = 7
![\begin{gathered} \text{Probability (of selecting a red and a blue bottle) = }\frac{\text{ number of red bottle}}{\text{ number of possible outcome}}*\frac{\text{ number of blue bottle}}{\text{ number of possible outcome}} \\ Pro\text{bability (of selecting a red and a blue bottle)}=(5)/(20)*(7)/(20) \\ Pro\text{bability (of selecting a red and a blue bottle)}=(35)/(400)=(7)/(80) \end{gathered}]()
Therefore the probability of selecting a red and a blue bottle = 7/80
Hence the correct answer is Option B