document.write( "Question 201490: Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is:
\n" ); document.write( "a. a spade?
\n" ); document.write( "b. a seven (7)?
\n" ); document.write( "c. a seven (7) and a spade?
\n" ); document.write( "d. a seven (7) or a spade?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #151699 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is:
\n" ); document.write( "a. a spade?
\n" ); document.write( "
\r\n" );
document.write( "There are 13 spades out of 52 cards, so we put 13 over 52 and reduce:\r\n" );
document.write( "\r\n" );
document.write( "\"13%2F52=1%2F4\"\r\n" );
document.write( "

\n" ); document.write( "b. a seven (7)?
\n" ); document.write( "
\r\n" );
document.write( "There are 4 7's out of 52 cards, so we put 4 over 52 and reduce:\r\n" );
document.write( "\"4%2F52=1%2F13\"\r\n" );
document.write( "

\n" ); document.write( "c. a seven (7) and a spade?
\n" ); document.write( "
\r\n" );
document.write( "There is just one car that is both a 7 and a spade and\r\n" );
document.write( "that is the 1 card the 7 of spades.  So we put 1 over 52:\r\n" );
document.write( "\"1%2F52\"\r\n" );
document.write( "

\n" ); document.write( "d. a seven (7) or a spade?
\n" ); document.write( "
\r\n" );
document.write( "Now we use the formula\r\n" );
document.write( "\r\n" );
document.write( "P(A OR B) = P(A) + P(B) - P(A AND B)\r\n" );
document.write( "\r\n" );
document.write( "P(7 OR Spade) = P(7) + P(Spade) - P(7 AND Spade)\r\n" );
document.write( "\r\n" );
document.write( "              = \"%281%2F13%29%2B%281%2F4%29-%281%2F52%29\"\r\n" );
document.write( "\r\n" );
document.write( "              = \"4%2F52%2B13%2F52-1%2F52\"\r\n" );
document.write( "\r\n" );
document.write( "              = \"16%2F52\"\r\n" );
document.write( "\r\n" );
document.write( "              = \"4%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );