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1 . You are given a fair die and roll it 12 times. Define the event
  • A = "there are exactly two 6's in the sequence of 12 rolls".
What is $\Pr(A)$?
(a)
${12 \choose 2} \cdot \left. 5^{12} \middle/ 6^{12} \right.$
(b)
$12^{2} \cdot \left. 5^{12} \middle/ 6^{12} \right.$
(c)
$12^{2} \cdot \left. 5^{10} \middle/ 6^{12} \right.$
(d)
${12 \choose 2} \cdot \left. 5^{10} \middle/ 6^{12} \right.$