document.write( "Question 895526: A standard 52-card deck is shuffled, and a card is drawn off the top. The card is recorded and replaced. This process is repeated 70 times. The results are in the table below. What is the experimental probability of drawing a 2, 3, 4, or 5? \n" ); document.write( "

Algebra.Com's Answer #542877 by Edwin McCravy(20066) $\"\"$ $\"About$

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document.write( "You must have meant THEORETICAL probability, not EXPERIMENTAL probability.\r\n" );
document.write( "An EXPERIMENTAL probability is one that you obtain youself by actually drawing\r\n" );
document.write( "a card 70 times, each time putting it back and shuffling the deck, You keep a\r\n" );
document.write( "count of how many times you succeeded in drawing a 2, 3, 4, or 5, and then\r\n" );
document.write( "you divide by 70.\r\n" );
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document.write( "The THEORETICAL probability is calculated this way.\r\n" );
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document.write( "Here are the 52 cards:\r\n" );
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document.write( "A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  J♥  Q♥  K♥ \r\n" );
document.write( "A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  J♦  Q♦  K♦\r\n" );
document.write( "A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  J♠  Q♠  K♠  \r\n" );
document.write( "A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣\r\n" );
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document.write( "Here are the only \"successful\" cards.  There are only 16 of them:\r\n" );
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document.write( "     2♥   3♥   4♥   5♥   \r\n" );
document.write( "     2♦   3♦   4♦   5♦\r\n" );
document.write( "     2♠   3♠   4♠   5♠   \r\n" );
document.write( "     2♣   3♣   4♣   5♣\r\n" );
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document.write( "That's a probability of 16 out of 52, which is the fraction \r\n" );
document.write( "which reduces of , which is approximately 31% of the time.\r\n" );
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document.write( "That's the theoretical, not experimental, probability.\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "If you actually did the experiment and found the experimental probability,\r\n" );
document.write( "it should be close to 31%.\r\n" );
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document.write( "Edwin

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