1) Suppose you have 11 identical well-shuffled non-standard decks of cards, wher
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Question
1) Suppose you have 11 identical well-shuffled non-standard decks of cards, where each deck contains 115 cards of which of 87 of those cards are Aces. If you draw one card from each of the decks, what is the probability that you will see at least one card that is not an Ace?
2) Suppose that a probability course at University has 96 students. Of those, 31 are EE majors, 46 are seniors, and 21 are EE majors and seniors. Determine the probability that a randomly selected student is neither an EE major nor a senior.
Explanation / Answer
1) the probability that you will see at least one card that is not an Ace
= 1 - (87/115)11
= 1 - 0.0465
= 0.9535
2) p [EEc and Sc] = 1 - p [EE or S] = 1 - p [EE] - p [S] + p [EE and S]
= 1 - (31 + 46 - 21)/96
= 0.4167
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