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Number of Runs

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Parts

Part 1

Part 2

Imagine you are given a standard deck of 52 cards (half of the cards are red and the other half are black). A run is defined as a block of cards that are drawn consecutively and all have the same color. As an example, BBRRBBB has 3 runs.

**Part 1**

Find the expected number of runs in a shuffled deck of cards.