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A director is trying to pick actresses for roles in a movie, but suddenly all the people in Hollywood have disappeared! Say there is only
A director is trying to pick actresses for roles in a movie, but suddenly all the people in Hollywood have disappeared! Say there is only one actress with blonde hair, one with red hair, one with brown hair, one with white hair, and two with black hair. The director picks one of them each time for the 70 roles in the movie. What is the expected number of times he will consecutively pick two actresses with the same hair color? Note: count the consecutive continuously! (so picking three blonde actresses consecutively would count as two times)
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