document.write( "Question 414169: I was wondering if someone could tell me if I got these problems right? I am finding this to be a difficult subject.\r
\n" ); document.write( "\n" ); document.write( "A pin consists of 2 letters followed by 3 numbers (assume repetition is allowed and order is important).\r
\n" ); document.write( "\n" ); document.write( "a) how many different pin numbers are there?
\n" ); document.write( "26*26*10*10*10=676,000\r
\n" ); document.write( "\n" ); document.write( "b) what is the proabilty a pin number selected randomly ends in 000?
\n" ); document.write( "26*26*9*9*9=492,804\r
\n" ); document.write( "\n" ); document.write( "c)what is the probability a pin selected at random begins with AA?
\n" ); document.write( "25*25*10*10*10=625,000\r
\n" ); document.write( "\n" ); document.write( "d)what is the probability a pin selected at random being with A and ends with 00?
\n" ); document.write( "25*26*10*9*9=526,500\r
\n" ); document.write( "\n" ); document.write( "e)what is the probability a pin selected at random has a repeated letter and different numbers?
\n" ); document.write( "26*25*10*9*8=468,000
\n" ); document.write( "
\n" ); document.write( "Thanks for your time and help,
\n" ); document.write( "Gina
\n" ); document.write( "

Algebra.Com's Answer #290488 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A pin consists of 2 letters followed by 3 numbers (assume repetition is allowed and order is important).
\n" ); document.write( "a) how many different pin numbers are there?
\n" ); document.write( "26*26*10*10*10=676,000
\n" ); document.write( "b) what is the probabilty a pin number selected randomly ends in 000?
\n" ); document.write( "26*26*9*9*9=492,804
\n" ); document.write( "So probability = 492,804/676,000
\n" ); document.write( "--------------------------------------
\n" ); document.write( "c)what is the probability a pin selected at random begins with AA?
\n" ); document.write( "25*25*10*10*10=625,000
\n" ); document.write( "So probability = 625,000/676,000
\n" ); document.write( "--------------------------------------
\n" ); document.write( "d)what is the probability a pin selected at random begins with A and ends with 00?
\n" ); document.write( "1*26*10*1*1=260
\n" ); document.write( "So probability = 260/676,000
\n" ); document.write( "--------------------------------------
\n" ); document.write( "e)what is the probability a pin selected at random has a repeated letter and different numbers?
\n" ); document.write( "That depends on the rules followed for building the pin.
\n" ); document.write( "If repetition is allowed in building the pin the probability is 1.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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