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Your kitchen junk drawer holds 25 loose AA batteries. Exactly 5 of them are dead; the other 20 still work, but the dead ones look identical to the good ones. Without testing anything, you scoop out 6 batteries at random, all at once (every group of 6 is equally likely).
What is the probability that exactly 2 of the 6 batteries you grab are dead? Give the exact value as a fraction in lowest terms.
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