The real estate manager of a commercial building needs to fill three empty spaces. The options for each store are: Store $1$Store $2$Store $3$GroceryPet StoreRestaurantGymHardware StorePizza Shop All of the possible options for the three stores are shown in the tree diagram below. A tree diagram is shown.The top row reads Grocery and has three arrows pointing from it$,$ each pointing to one item between Pet Store, Restaurant, and Gym in the middle row. From each item in the middle row there are two arrows pointing to on item, Hardware Store or Pizza Shop, in the bottom row.What is the probability that the group of stores will have a restaurant or a hardware store, or both? A pizza shop is not considered to be a restaurant.