can someone please explain how the answer is 0.54

ri26j

New Member
#1
In a small town, 60% of the households have a pet dog. If a household has a pet dog, there is a 70% chance that the household also owns a cat. If a household does not have a dog, there is a 30% chance that the household owns a cat. What is the probability that a randomly selected household owns a cat?

Thanks !
 

ri26j

New Member
#4
I've finally got it! I completely missed out on calculating the conditional probability for those who owned a cat but no dogs, i just calculated it as 30% out of a 100%.