document.write( "Question 1101418: Suppose you pay $3 to roll a fair die with the understanding you will get back 5$ if you roll a 3 or 5, nothing otherwise. What is your expected value ? \n" ); document.write( "

Algebra.Com's Answer #716015 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The game costs $3 to play.
\n" ); document.write( "If you roll 3 or 5, you win $5, so you gain $2 (\"+2\").
\n" ); document.write( "If you roll 1, 2, 4, or 6, you win nothing, so you lose $3 (\"-3\").

\n" ); document.write( "The expected value is then
\n" ); document.write( " $\"%282%2F6%29%2A%28%2B2%29+%2B+%284%2F6%29%2A%28-3%29+=+2%2F3+-+2+=+-%284%2F3%29\"$
\n" ); document.write( "On average, you should expect to lose $4 for every 3 games played. \n" ); document.write( "

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