Answer with explanation:
→Number of characters in the game =3 (elf, hobbit, or human)
→Number of defense tools in the game =5 (magic, sword, shield, slingshot, or umbrella)
⇒Total number of elements in the set ,which consist of 3 characters and 5 defense tools = 3 × 5=15→→{(elf,magic),(elf,sword),(elf,shield),(elf,slingshot),(elf,umbrella),(Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella),(Human,magic),(Human,sword),(Human,shield),(Human,slingshot),(Human,Umbrella)}
→<em><u>Out of 15 different ,pairs of Characters and tools,there are 7 pairs in which ,Hobbit as a character and umbrella as a defense tool is used.</u></em> (Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella), (Human,Umbrella), (elf,umbrella).
Then, required probability