A company makes 50 deposits to their bank in one month. Four of the deposits are mistakenly written in the company's ledger as $2 more than actually deposited and three of the deposits are mistakenly recorded in the ledger as $2 less than was actually deposited. If the CEO checks the book keeping by comparing the sum of 6 random deposit receipts to the sum of their records in the ledger, what is the probability he thinks the ledger is accurate?
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