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1. Removing an element to raise probability ●●○○○ 20 ptsTwo different numbers are randomly selected from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$. The probability that their sum is 12 would be greater if the number $n$ had first been removed from $S$. What is the value of $n$?
2. Same heads from one and two coins ●●○○○ 20 ptsKeiko tosses one penny and Ephraim tosses two pennies. All pennies are fair. What is the probability that Ephraim gets the same number of heads that Keiko gets? Give your answer as a decimal.