What is the probability that all the aces will appear

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1) a deck of cards is shuffled and the cards turned up one at a time. What is the probability that all the aces will appear before any of the tens?

2) which is more likely-- at least one 6 in 4 rolls of a fair die or at least one sum of 12 in 24 rolls of a pair of dice?

3) a true false test has 4 questions. the student is guessing.
a) What is the probability the student answers at least half of the questions correctly?
b) now, the student knows the answer of question2 (false). WHat is the probability that the student answers at least half of the questions correctly
 
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hi hmcc, what have you tried?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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