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Two boxes contain a number of envelopes. Box A contains 2 gold envelopes and 8 blue envelopes. Box B contains 3 gold envelopes and 7 blue envelopes. Regardless of which box, there is a 40% chance that a gold envelope has a prize in it. The blue envelopes all contain no prize. You draw one envelope from each box.
(a) For k = 0, 1, 2, calculate the probability that you draw exactly k gold envelopes.
(b) What is the probability that you get at least 1 prize?

Sagot :

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