Question 1. In the Harry Potter world, each Chocolate Frog has a card inside it for one to collect famous witches and wi

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Question 1 In The Harry Potter World Each Chocolate Frog Has A Card Inside It For One To Collect Famous Witches And Wi 1 (355.23 KiB) Viewed 44 times

Question 1. In the Harry Potter world, each Chocolate Frog has a card inside it for one to collect famous witches and wizards (a.k.a., Chocolate Frog Card). In Harry's first journey on the Hogwarts Express, he got his very first Chocolate Frog Card, which is Albus Dumbledore. Assume that there are N possible wizards or witches to appear in the Chocolate Frog Cards and each unique card exhibits a equal chance (ū) to be drawn in a Chocolate Frog. (a) [Non-coding Question] Harry collected another X cards till he got another Dumbledore (i.e., Dumbledore is the X-th card while none of the previous X – 1 cards is a Dumbledore). If there are 3 possible unique Chocolate Frog cards (N = 3), what is the expected value of X (i.e., E[X])? (10') (b) [Non-coding Question] If we didn't set N to an exact number, please generalize the solution of (a) to represent E[X] using a formula with N. (10')