Let the probability that it is not raining be \(1 - x\).

The probability that Aran does not wear a hat when it is not raining is \(1 - 0.3 = 0.7\).

The probability that Aran does not wear a scarf when he does not wear a hat is \(1 - 0.1 = 0.9\).

The probability that it is not raining and Aran is not wearing a hat or a scarf is given by:

\((1-x) \times 0.7 \times 0.9 = 0.36\)

Solving for \(x\):

\((1-x) \times 0.63 = 0.36\)

\(0.63 - 0.63x = 0.36\)

\(0.63x = 0.63 - 0.36\)

\(0.63x = 0.27\)

\(x = \frac{0.27}{0.63} = \frac{3}{7}\)