Cards Remaining When Only One Color Is Left

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A deck contains
• 35 red cards;
• 65 black cards.

Cards are drawn one by one without replacement.

Stop as soon as all remaining undrawn cards are of only one color.

What is the expected number of cards remaining?

A deck contains
• 35 red cards;
• 65 black cards.

Cards are drawn one by one without replacement.

Stop as soon as all remaining undrawn cards are of only one color.

What is the expected number of cards remaining?