Same Coloured Cards in a row

Discrete Mathematics Level pending

you have a deck of 52 cards, half red and half black. after shuffling them, what will be the expected value of the average number of cards that are the same colour in a row,

For example in the set of cards rrrbrrbbrbbb, the average number of cards that are the same colour in a row would be \( \frac{ 3+1+2+2+1+3}{6} = 2 \).

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