[tex]\large\boxed{C).\,13.5\%}[/tex]
In this question, we're trying to find the probability of it being cloudy and raining.
In this case, we know that:
With the information above, we can find the probability.
We know that from a 100% scale, the chance of it being cloudy is 30%.
We know that if it's cloudy, the chances of raining is 45%
To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)
Solve:
[tex]0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}[/tex]
Your answer would be C). 13.5%