My sister have two dogs, I feed them every morning, and after I get my own breakfast, I check and…

My sister have two dogs, I feed them every morning, and after I get my own breakfast, I check and see if they are eating, too. Her older dog is there eating 80% of the time. Her younger dog is there only 45% of the time. The dogs don’t much like eating near each other, so they only eat together 30% of the time. if we let Y be the event that the younger dog is eating and O be the event that the older dog is eating. Write each probability in terms of Y and O and then find the requested probability. What is the probability:

A.) Neither dog eating when I check?
B.) That only the older dog is eating when I check?
C.) Younger dog eating, given that older dog is eating?
D.) Older dog eating, given that younger dog is not eating.

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