document.write( "Question 269551: Hello Guys,\r
\n" ); document.write( "\n" ); document.write( "I think I got it can you please check it for me here is the question and the answer.\r
\n" ); document.write( "\n" ); document.write( "A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6. Repetition of digits is permitted. \r
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\n" ); document.write( "1.Use the counting principle to determine the number of points in the sample space. \r
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\n" ); document.write( "\n" ); document.write( "2.Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox. \r
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\n" ); document.write( "\n" ); document.write( "3.List the sample space.\r
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\n" ); document.write( "\n" ); document.write( "4.Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.
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\n" ); document.write( "HERE IS MY ANSWER:\r
\n" ); document.write( "\n" ); document.write( "First our license plate must be in the form of
\n" ); document.write( "# - L - L,
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\n" ); document.write( "we have 2 choices for the numbers, 2 or 6
\n" ); document.write( "we have 3 choices for the letters r - u - n.
\n" ); document.write( "repetition is allowed: So there is a second 3 choices for letters r - u - n
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\n" ); document.write( "1. Use the counting principle to determine the number of points in the sample space.
\n" ); document.write( "ANSWER: The counting principal is all about multiplying the number of ways one event occurs x the number of ways a second event occurs x the number of ways a third event occurs and so on. In our case we have 2 number choices and 3 letter choices, but two times.
\n" ); document.write( "2 x 3 x 3 = 18.
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\n" ); document.write( "2. Construct a tree diagram to represent this situation.
\n" ); document.write( "ANSWER:
\n" ); document.write( "step 1 - write a 2 and below it with a little space write a 6
\n" ); document.write( "step 2 - from the 2 draw 3 arrows and next to the end of these write R,U, N
\n" ); document.write( "step 3 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
\n" ); document.write( "step 4 - from the 6 draw 3 arrows and next to the end of these write R,U,N
\n" ); document.write( "step 5 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
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\n" ); document.write( "3. List the sample space.
\n" ); document.write( "ANSWER: this is pretty straight forward from the tree diagram. we get
\n" ); document.write( "2aa, 2ab, 2ac, 2ba, 2bb, 2bc, 2ca, 2cb, 2cc,
\n" ); document.write( "6aa, 6ab, 6ac, 6ba, 6bb, 6bc, 6ca, 6cb, 6cc.
\n" ); document.write( "2ab plate is different from 2ba plate
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\n" ); document.write( "4. Determine the EXACT probability of creating a mini license plate with a R. Give the solution in reduced fraction form.
\n" ); document.write( "ANSWER: 2ac, 2bc, 2cc, 2ca, 2cb, 6ac, 6bc, 6cc, 6ca, 6cb
\n" ); document.write( "\"with a R\" means to me one or two R\"s in any order.
\n" ); document.write( "P(R) = 10/18 = 5/9.
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Algebra.Com's Answer #197594 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here are my answers.  They don't agree with yours.  \r\n" );
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document.write( "A mini license plate for a toy car must consist of a letter followed by two\r\n" );
document.write( "numbers. Each letter must be an R, U or N. Each number must be a 2 or 6.\r\n" );
document.write( "Repetition of digits is permitted. \r\n" );
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document.write( "1.Use the counting principle to determine the number of points in the sample\r\n" );
document.write( "space. \r\n" );
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document.write( "Here's a sample license plate:   U66\r\n" );
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document.write( "Choose a letter to go where the U is -- 3 ways\r\n" );
document.write( "Choose a digit to go where the first 6 is -- 2 ways\r\n" );
document.write( "Choose a digit to go where the second 6 is -- 2 ways.\r\n" );
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document.write( "That's 3*2*2 = 12 \r\n" );
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document.write( "2.Construct a tree diagram to represent this situation and submit it to the\r\n" );
document.write( "week 5, assignment 3 dropbox. \r\n" );
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document.write( "                               2\r\n" );
document.write( "                            2 \r\n" );
document.write( "                          /    6\r\n" );
document.write( "                        R    \r\n" );
document.write( "                      /   \    2\r\n" );
document.write( "                    /       6    \r\n" );
document.write( "                  /            6\r\n" );
document.write( "                /               \r\n" );
document.write( "              /                2\r\n" );
document.write( "            /               2\r\n" );
document.write( "          /               /    6\r\n" );
document.write( "        /-  - - - - - - -U     \r\n" );
document.write( "         \                 \   2\r\n" );
document.write( "           \                 6\r\n" );
document.write( "             \                 6\r\n" );
document.write( "               \\r\n" );
document.write( "                 \             2\r\n" );
document.write( "                   \        2\r\n" );
document.write( "                      \    /   6\r\n" );
document.write( "                        N\r\n" );
document.write( "                          \    2\r\n" );
document.write( "                           6\r\n" );
document.write( "                               6 \r\n" );
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document.write( "3.List the sample space. \r\n" );
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document.write( "{R22, R26, R62, R66, U22, U26, U62, U66, N22, N26, N62, N66}.\r\n" );
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document.write( "4.Determine the exact probability of creating a mini license plate with an R.\r\n" );
document.write( "Give solution exactly in reduced fraction form.\r\n" );
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document.write( "The first 4 have R's.  That's 4 out of the 12, so the probability is \r\n" );
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document.write( "\"4%2F12+=+1%2F3\"\r\n" );
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document.write( "Edwin
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