Zoom International Math League: AMC 10 Mock Exam Discussion For 9/8: Question 9

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AMC 10 Mock Exam Discussion For 9/8: Question 9

AMC 10 Mock Exam Discussion For 9/7: Question 8
AMC 10 Mock Exam Discussion For 9/9: Question 10

AMC 10 Mock Exam Question 9

The faces of each of $7$ standard dice are labeled with the integers from $1$ to $6$ . Let $p$ be the probabilities that when all $7$ dice are rolled, the sum of the numbers on the top faces is $10$ . What other sum occurs with the same probability as $p$ ?

$(A) 13 (B) 26 (C) 32 (D) 39 (E) 42$

Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/10 at 2pm Pacific Time. (There's still time for yesterday's problem too: click here.)

Top solutions for all the Mock Exam questions will be collected and shared as part of a full 25 Question Mock AMC 10 Exam.

Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.

AMC 10 Mock Exam Discussion For 9/7: Question 8
AMC 10 Mock Exam Discussion For 9/9: Question 10