document.write( "Question 1086272: Ray has some change in his pocket: four pennies, two nickels, four dimes,
\n" ); document.write( "two quarters, and two half dollars. He draws out a coin at random. The
\n" ); document.write( "probability of drawing any one of the coins is
\n" ); document.write( "0.06 for each penny.
\n" ); document.write( "0.01 for each dime.
\n" ); document.write( "0.03 for each nickel.
\n" ); document.write( "0.09 for each quarter.
\n" ); document.write( "0.24 for each half-dollar.\r
\n" ); document.write( "\n" ); document.write( "(a) Find the probability that the coin drawn is a dime.
\n" ); document.write( "(b) Find the probability that the coin drawn is a quarter or a half-dollar.
\n" ); document.write( "(c) Find the probability that the coin drawn is a nickel.
\n" ); document.write( "(d) Find the probability that the value of the coin drawn is less than 10 cents. \n" ); document.write( "
Algebra.Com's Answer #700436 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Ray has some change in his pocket: four pennies, two nickels, four dimes,
\n" ); document.write( "two quarters, and two half dollars. He draws out a coin at random. The
\n" ); document.write( "probability of drawing any one of the coins is
\n" ); document.write( "0.06 for each penny.
\n" ); document.write( "
\r\n" );
document.write( "So since he has four pennies, his probability\r\n" );
document.write( "of drawing a penny is 4×0.06 = 0.24\r\n" );
document.write( "

\n" ); document.write( "0.01 for each dime.
\n" ); document.write( "
\r\n" );
document.write( "So since he has four dimes, his probability\r\n" );
document.write( "of drawing a dime is 4×0.01 = 0.04\r\n" );
document.write( "

\n" ); document.write( "0.03 for each nickel.
\n" ); document.write( "
\r\n" );
document.write( "So since he has two nickels, his probability\r\n" );
document.write( "of drawing a nickel is 2×0.03 = 0.06\r\n" );
document.write( "

\n" ); document.write( "0.09 for each quarter.
\n" ); document.write( "
\r\n" );
document.write( "So since he has two quarters, his probability\r\n" );
document.write( "of drawing a quarter is 2×0.09 = 0.18\r\n" );
document.write( "

\n" ); document.write( "0.24 for each half-dollar.
\n" ); document.write( "
\r\n" );
document.write( "So since he has two half-dollars, his probability\r\n" );
document.write( "of drawing a half-dollar is 2×0.24 = 0.48\r\n" );
document.write( "\r\n" );
document.write( "Now, let's see if the problem is legitimate by\r\n" );
document.write( "adding up all those probabilities and seeing if\r\n" );
document.write( "we get 1.00:\r\n" );
document.write( "\r\n" );
document.write( "0.24 = probability of drawing a penny.\r\n" );
document.write( "0.04 = probability of drawing a dime.\r\n" );
document.write( "0.06 = probability of drawing a nickel.\r\n" );
document.write( "0.18 = probability of drawing a quarter.\r\n" );
document.write( "0.48 = probability of drawing a half-dollar.\r\n" );
document.write( "----\r\n" );
document.write( "1.00\r\n" );
document.write( "\r\n" );
document.write( "Yes, we get 1, the probability of certainty, since\r\n" );
document.write( "it is certain that he will get a penny or a dime or\r\n" );
document.write( "a nickel or a quarter or a half-dollar, so this is \r\n" );
document.write( "a legitimate probability problem.\r\n" );
document.write( "

\n" ); document.write( "(a) Find the probability that the coin drawn is a dime.
\n" ); document.write( "
\r\n" );
document.write( "0.04\r\n" );
document.write( "

\n" ); document.write( "(b) Find the probability that the coin drawn is a quarter
\n" ); document.write( "or a half-dollar.
\n" ); document.write( "
\r\n" );
document.write( "0.18 + 0.48 = 0.66 \r\n" );
document.write( "

\n" ); document.write( "(c) Find the probability that the coin drawn is a nickel.
\n" ); document.write( "
\r\n" );
document.write( "0.06\r\n" );
document.write( "

\n" ); document.write( "(d) Find the probability that the value of the coin drawn is
\n" ); document.write( "less than 10 cents.
\n" ); document.write( "
\r\n" );
document.write( "That's the same as if it had read this way: \r\n" );
document.write( "\r\n" );
document.write( "Find the probability that the coin drawn is a penny or a \r\n" );
document.write( "nickel.\r\n" );
document.write( "\r\n" );
document.write( "0.24 + 0.06 = 0.30\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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\n" );