David Barnes and his fiance Valerie Shah are visiting Hawaii. There are 35 guests registered for orientation.

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Question:

David Barnes and his fiancée Valerie Shah are visiting Hawaii. There are 35 guests registered for orientation. It is announced that 18 randomly selected registered guests will receive a free lesson of the 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.) Probability:

b. What is the probability that neither of them gets picked for the Tahitian dance lesson? (Round your answer to 4 decimal places.) Probability: