document.write( "Question 309447: a card is drawn from a deck of cards numbered one through twenty. The card is NOT replaced and another card is drawn. Find the probability that a prime number is drawn and then a composite number. \n" ); document.write( "
Algebra.Com's Answer #221328 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! Prime numbers from 1 to 20 are \n" ); document.write( "2, 3, 5, 7, 11, 13, 17, 19 \n" ); document.write( "The number 1 is neither prime nor composite (if your teacher doesn't feel that way then modify as necessary). \n" ); document.write( "That makes 8 numbers prime. \n" ); document.write( "11 numbers composite. \n" ); document.write( "1 special number (the number 1). \n" ); document.write( "20 total. \n" ); document.write( "P(prime)=8/20=2/5 \n" ); document.write( "Without replacement the total number of cards drops to 19. \n" ); document.write( "P(composite)=11/19 \n" ); document.write( "P(prime, composite)=(2/5)(11/19)=22/95 \n" ); document.write( " \n" ); document.write( " |