Could someone please check my work?

A family picnic scheduled for tomorrow will be postponed if it is either cloudy or rainy. If the probability That it will be cloudy is . 40, The probability that it will be rainy is. 30, and The probability that it will be both rainy and cloudy is. 20, What is The probability that the picnic will be postponed? Ler A = rainy PCA) = 30 and PCAB) =.20 B= Cloudy =PCB) =40. AUB = either rainy or cloudy => PLAUB) = probability of postponement * 1 - PCAUB) = probability of no postponement PLAUB ) = PCA) + PCB) - PCAB ) =. 30 +. 40 -20 =:50 * no postponement 1 -PLAUB) = 1-.50 =50 Hence, There is a 50% chance of no postponement