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A Student Wants to Purchase a Ticket to a Very $30\$ 30

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A student wants to purchase a ticket to a very popular rock concert from a friend. He agrees to pay the friend $30\$ 30 , but will only get the ticket if he rolls a 5 or a 6 on an ordinary die, otherwise the friend keeps the ticket and the $30\$ 30 . What is the ticket worth to the student if he thinks that this arrangement is fair?

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