correlation: Consider n independent tosses of a die....

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Hi, can someone help me with this question please? I have no clue where to start...

Consider n independent tosses of a die. Each toss has probability Pi of resulting in i. Let Xi be the number of tosses that result in i. Show that X1 and X2 are negatively correlated (i.e., a large number of ones suggests a smaller number of twos).
 
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