document.write( "Question 1120481: Two cards are drawn in succession from a standard​ 52-card deck. What is the probability that the first card is red and the second card is black?\r
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\n" ); document.write( "\n" ); document.write( "If the cards are drawn without​ replacement?
\n" ); document.write( "If the cards are drawn with​ replacement?
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\n" ); document.write( "Type an integer or decimal rounded to four decimal places as​ needed.
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Algebra.Com's Answer #736142 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The probability of a red card on the first draw is because 26 of the cards are red and there are a total of 52 cards. If you do not replace the card, then presuming you did draw a red card on the first draw, there would remain 25 red cards and 26 black cards, so the probability of drawing a black card on the second draw would be . Having accounted for the change in the number of cards, the two events are independent and the probability of both events is the product of the individual probabilities, that is . You can do your own arithmetic.\r
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\n" ); document.write( "\n" ); document.write( "If you do replace the card, then the probability of a black card on the second draw is . And again, these are independent events so the probability of both is the product of the individual probabilities. .
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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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