- #1
Vanessa23
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If you are given two dice and a gameboard how would you figure out the probability of landing on each of the individual squares in one game?
Since there are two dice with 6 faces you can make a few statements without much math:
0 possibility of landing on first square,
(1/6)*(1/6) probability of landing on squares 2 and 3.
However, after that the probability of landing on a square between 4 and 12 is related to both the probability of rolling that sum as well as the probability of landing on a previous square AND rolling the subsequently necessary sum.
For example, to land on square 5 you could roll a (1,4) OR (2,3) OR {(1,1) AND (1,2)} OR {(1,2) AND (1,1)}
In the example I did not include (4,1) or (3,2) because it would have resulted in landing on the same square, yet {(1,1) AND (1,2)} would have been due to landing on square 2 and then square 5, whereas {(1,2) AND (1,1)} would have resulted in landing on square 3 and then square 5.
Which equation can you use to determine the probability of landing on each space of the board? THANK YOU for any thoughts, suggestions or resources.
Since there are two dice with 6 faces you can make a few statements without much math:
0 possibility of landing on first square,
(1/6)*(1/6) probability of landing on squares 2 and 3.
However, after that the probability of landing on a square between 4 and 12 is related to both the probability of rolling that sum as well as the probability of landing on a previous square AND rolling the subsequently necessary sum.
For example, to land on square 5 you could roll a (1,4) OR (2,3) OR {(1,1) AND (1,2)} OR {(1,2) AND (1,1)}
In the example I did not include (4,1) or (3,2) because it would have resulted in landing on the same square, yet {(1,1) AND (1,2)} would have been due to landing on square 2 and then square 5, whereas {(1,2) AND (1,1)} would have resulted in landing on square 3 and then square 5.
Which equation can you use to determine the probability of landing on each space of the board? THANK YOU for any thoughts, suggestions or resources.