In Shen's cooler there are bottles of soda and bottles of water. Shen is going to choose bottles at random from the cooler to give to his friends. What is the probability that he will choose sodas and waters? Round your answer to three decimal places.

In Trey's cooler there are 8 bottles of soda and 10 bottles of water. Trey is going to choose 12 bottles at random from the cooler to give to his friends. What is the probability that he will choose 5 sodas and 7 waters? Round your answer to three decimal places.

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