document.write( "Question 1026565: a bag contains two black balls, three green balls and four
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document.write( "red balls. A ball is picked from the bag at random. What
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document.write( "is the probability that it is;
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document.write( "1. black
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document.write( "2. green
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document.write( "3. red
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document.write( "4. yellow
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document.write( "5. not black
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document.write( "6. either black or red? \n" );
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Algebra.Com's Answer #641804 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! a bag contains two black balls, three green balls and four \n" ); document.write( "red balls. \n" ); document.write( " \r\n" ); document.write( "That's a total of 2 blacks + 3 greens + 4 reds = 9 balls\r\n" ); document.write( " \n" ); document.write( "A ball is picked from the bag at random. What \n" ); document.write( "is the probability that it is; \n" ); document.write( "1. black \n" ); document.write( " \r\n" ); document.write( "That's 2 black balls out of 9 balls, so the probability is 2/9.\r\n" ); document.write( "That doesn't reduce so we leave it 2/9. \r\n" ); document.write( " \n" ); document.write( "2. green \n" ); document.write( " \r\n" ); document.write( "That's 3 green balls out of 9 balls, so the probability is 3/9.\r\n" ); document.write( "That reduces to 1/3\r\n" ); document.write( " \n" ); document.write( "3. red \n" ); document.write( " \r\n" ); document.write( "That's 4 red balls out of 9 balls, so the probability is 4/9.\r\n" ); document.write( "That doesn't reduce so we leave it 4/9. \r\n" ); document.write( " \n" ); document.write( "4. yellow \n" ); document.write( " \r\n" ); document.write( "There are no yellow balls in the bag.\r\n" ); document.write( "That's 0 yellow balls out of 9 balls, so the probability is 0/9,\r\n" ); document.write( "which is just 0. When something is impossible, its probability\r\n" ); document.write( "is 0.\r\n" ); document.write( " \n" ); document.write( "5. not black \n" ); document.write( " \r\n" ); document.write( "There are 3+4 or 7 balls that are not black, because 3 are green\r\n" ); document.write( "and 4 are red.\r\n" ); document.write( "That's 7 non-black balls out of 9 balls, so the probability is 7/9.\r\n" ); document.write( "That doesn't reduce so we leave it 7/9.\r\n" ); document.write( " \n" ); document.write( "6. either black or red? \n" ); document.write( " \r\n" ); document.write( "There are 2+4 or 6 balls that are either black or red, because 2 \r\n" ); document.write( "are black and 4 are red.\r\n" ); document.write( "That's 6 black or red balls out of 9 balls, so the probability \r\n" ); document.write( "is 6/9. That reduces to 2/3.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |