document.write( "Question 78112: 1. A woman has 4 children. The eldest is 3 years older than the second child, who is 3 years older than the youngest child. The youngest child is one half the age of the oldest child. How old are the children.\r
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document.write( "2. A card is cut from a pack of playing cards. Determine the probability that it will be an ace or the king of hearts.\r
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document.write( "3. A coin is tossed and a die is rolled. What is the probability of getting:\r
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document.write( "· A tail and a 5?
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document.write( "· A head and an even number?
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Algebra.Com's Answer #56084 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. A woman has 4 children. The eldest is 3 years older than the second child, who is 3 years older than the youngest child. The youngest child is one half the age of the oldest child. How old are the children. \n" ); document.write( "--------- \n" ); document.write( "Let the youngest child be age \"x\". \n" ); document.write( "Then oldest is age \"2x\". \n" ); document.write( "The second child is \"2x-3\" \n" ); document.write( "EQUATION: \n" ); document.write( "2nd is 3 years older than youngest \n" ); document.write( "2x-3=x+3 \n" ); document.write( "x=6 (age of youngest) \n" ); document.write( "2x=12 (oldest) \n" ); document.write( "2x-3=9 (second oldest child) \n" ); document.write( "===================== \n" ); document.write( "2. A card is cut from a pack of playing cards. Determine the probability that it will be an ace or the king of hearts. \n" ); document.write( "Prob(ace or king of hearts)= Prob(ace)+Prob(king of hears)=4/52+1/52=5/52 \n" ); document.write( "================ \n" ); document.write( "3. A coin is tossed and a die is rolled. What is the probability of getting: \n" ); document.write( "· A tail and a 5? \n" ); document.write( "Prob(tail) * Prob(five) = (1/2) * (1/6) = 1/12 \n" ); document.write( "· A head and an even number? \n" ); document.write( "Prob(head) * Prob(even number) = (1/2) * (3/6) = 1/4 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |