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Probability Questions on Anagrams, Cards and Ball Selection

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1. (True or False) The six letters in the word CHEESE are rearranged in a random manner. The probability that it will still spell CHEESE is less than .5.

2. (True or False) In bridge(card game), it is more likely that North has no spades than that he has no aces.

3. (True or False) If three distinguishable balls are distributed completely at random into three distinguishable cells, then it is more likely that no cell will remain empty than that only one cell remains nonempty.

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Solution Summary

This solution helps with probability questions involving anagrams, cards and ball selection.

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Answers:
1. True
2. False
3. False

Reasons for the above answers

1. There are exactly 6!/3!=120 ways can ...

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