Sample space be the set of all possible permutations


Four women, W1, W2, W3 and W4 check their hats, and the hats are returned in a random manner. Let the sample space be the set of all possible permutations of W1, W2, W3, W4. Let Xj = 1 if jth woman gets her own hat back and 0 otherwise. What is the distribution of Xj? Are Xi's mutually independent?

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Basic Statistics: Sample space be the set of all possible permutations
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