document.write( "Question 105612: I am helping my son 12, with Marking period project.
\n" ); document.write( "Child playing a game with 3 frisbee's. There are four possible outcomes: A basket worth 1 point, a basket worth 5 points, a basket worth 10 points, and a miss of all baskets worth zero points.\r
\n" ); document.write( "\n" ); document.write( "What are the total possible point combinations for one turn of three frisbee's tossed ? \n" ); document.write( "

Algebra.Com's Answer #77020 by Fombitz(32388) $\"\"$ $\"About$

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Each Frisbee toss is an independent event.(Three tosses)
\n" ); document.write( "Each Frisbee toss can be either 0, 1, 5, or 10 points (Four values at each toss)
\n" ); document.write( "If I first toss a 0, then my next toss could be four possible values (0,1,5,10). Since I have 4 possible first tosses, I have 4x4 possible two toss pairs for first and second tosses ((0,0),(0,1),...,(10,5),(10,10)). Same for the third toss, for each of the 16 two toss pairs, I have 4 possible values or 4x16=64 possible three toss values((0,0,0),(0,0,1),...,(10,10,5),(10,10,10)).
\n" ); document.write( "Or mathematically
\n" ); document.write( "Round 1 : $\"4%5E1=4\"$ 1 toss combinations
\n" ); document.write( "Round 2 : $\"4%5E2=16\"$ 2 toss combinations
\n" ); document.write( "Round 3 : $\"4%5E3=64\"$ 3 toss combinations\r
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