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David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in...

David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 30 people will be randomly picked for a free lesson of a Tahitian dance.

a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (Round your answer to 4 decimal places.)

b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (Round your answer to 4 decimal places.)

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