You and a friend each pick a card from a regular deck of 52 playing cards but you do not look at them. Both of you then hold your cards up by your foreheads so that you can see the other's card but you can't see your own. Your friend is holding a 6. What is the probability that your card is higher?  Completely explain how you arrive at the value for your probability (which you should give as both a fraction and a decimal for probability)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You and a friend each pick a card from a regular deck of 52 playing cards but you do not look at them. Both of you then hold your cards up by your foreheads so that you can see the other's card but you can't see your own. Your friend is holding a 6. What is the probability that your card is higher? 

Completely explain how you arrive at the value for your probability (which you should give as both a fraction and a decimal for probability)

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