document.write( "Question 1203214: Please show steps of how to solve the question.\r
\n" ); document.write( "\n" ); document.write( "1 ) You are dealt a hand of four cards, one at a time.
\n" ); document.write( "(Round your answers to nearest whole percent)
\n" ); document.write( "Determine the probability of the following events:\r
\n" ); document.write( "\n" ); document.write( "a) Only the second card is a Spade.\r
\n" ); document.write( "\n" ); document.write( "Probability is: %\r
\n" ); document.write( "\n" ); document.write( "b) All 4 cards are Red.\r
\n" ); document.write( "\n" ); document.write( "Probability is: %\r
\n" ); document.write( "\n" ); document.write( "c) None of the cards are Clubs.\r
\n" ); document.write( "\n" ); document.write( "Probability is: %\r
\n" ); document.write( "\n" ); document.write( "d) At least 1 card is a Queen.\r
\n" ); document.write( "\n" ); document.write( "Probability is: %
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Algebra.Com's Answer #838615 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
1 ) You are dealt a hand of four cards, one at a time.
\n" ); document.write( "(Round your answers to nearest whole percent)
\n" ); document.write( "Determine the probability of the following events:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "these are all without replacement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a) Only the second card is a Spade.
\n" ); document.write( "Probability is: %\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "there are 13 spades in the deck that are spades and 39 cards in the deck that are not spades, out of a total of 52.\r
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\n" ); document.write( "\n" ); document.write( "the probability of getting a spade on the second draw only is 39/52 * 13/51 * 38/50 * 37/49 = .1097118848.
\n" ); document.write( "multiply by 100 to get percent and round as required.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) All 4 cards are Red.
\n" ); document.write( "Probability is: %\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "there are 26 red cards in the deck and 26 black cards, out of a total of 52.
\n" ); document.write( "the red cards are hearts and diamonds.
\n" ); document.write( "the black cards are clubs and spades.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "probability of getting 4 cards that are red is 26/52 * 25/51 * 24/50 * 23/49 = .0552220888.
\n" ); document.write( "multiply by 100 to get percent and round as required.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c) None of the cards are Clubs.
\n" ); document.write( "Probability is: %\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "there are 13 cards in the deck that are clubs and 39 cards in the deck that are not clubs, out of a total of 52.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "probability of getting 4 cards that are not clubs is 39/52 * 38/51 * 37/50 * 36/49 = .303817527.
\n" ); document.write( "multiply by 100 to get percent and round as required.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "d) At least 1 card is a Queen.
\n" ); document.write( "Probability is: %\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "there are 4 cards in the deck that are queens and 48 cards in the deck that are not queens, out of a total of 52.\r
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\n" ); document.write( "\n" ); document.write( "the probability of getting at least 1 queen is 1 minus the proability of getting 0 queens.\r
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\n" ); document.write( "\n" ); document.write( "the probability of getting 0 queens out of 4 tries is 48/52 * 47/51 * 46/50 * 45/49 = .7636577708.
\n" ); document.write( "the probability of getting at least 1 queen is 1 minus that = .2363422292.
\n" ); document.write( "multiply by 100 to get percent and round as required.\r
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\n" ); document.write( "\n" ); document.write( "i'm pretty sure this is correct.
\n" ); document.write( "check it out and let me know what you think.\r
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